%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG009-7 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:38:10 PM UTC 2026
% Result : Unsatisfiable 30.46s 10.30s
% Output : CNFRefutation 30.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 11
% Syntax : Number of formulae : 211 ( 211 unt; 0 def)
% Number of atoms : 211 ( 210 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 231 ( 0 sgn 231 !; 0 ?; 212 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',left_additive_identity) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',right_additive_identity) ).
fof(f5,axiom,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',right_additive_inverse) ).
fof(f6,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',associativity_for_addition) ).
fof(f8,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',commutativity_for_addition) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',associativity_for_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',distribute1) ).
fof(f11,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG005-0.ax',distribute2) ).
fof(f12,axiom,
! [X0] : multiply(X0,multiply(X0,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_cubed_is_x) ).
fof(f13,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f14,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f15,plain,
c != multiply(b,a),
inference(reorient_equations,[],[f14]) ).
tcf(c_61,plain,
! [X0: $i] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i] : add(X0,additive_inverse(X0)) = additive_identity,
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_70,plain,
! [X0: $i] : multiply(X0,multiply(X0,X0)) = X0,
inference(cnf_transformation,[],[f12]) ).
tcf(c_71,negated_conjecture,
multiply(a,b) = c,
inference(cnf_transformation,[],[f13]) ).
tcf(c_72,negated_conjecture,
multiply(b,a) != c,
inference(cnf_transformation,[],[f15]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_65,c_66]) ).
tcf(c_186,plain,
additive_inverse(additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_64,c_61]) ).
tcf(c_189,plain,
! [X0: $i] : multiply(a,add(b,X0)) = add(c,multiply(a,X0)),
inference(superposition,[status(thm)],[c_71,c_68]) ).
tcf(c_190,plain,
! [X0: $i] : multiply(a,add(X0,b)) = add(multiply(a,X0),c),
inference(superposition,[status(thm)],[c_71,c_68]) ).
tcf(c_191,plain,
! [X0: $i] : multiply(a,add(X0,b)) = add(c,multiply(a,X0)),
inference(theory_normalisation,[status(thm)],[c_190,c_65,c_66]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] : multiply(X0,add(multiply(X0,X0),X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_70,c_68]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : add(multiply(X0,X1),add(multiply(X0,X2),X3)) = add(multiply(X0,add(X1,X2)),X3),
inference(superposition,[status(thm)],[c_68,c_65]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] : add(multiply(a,add(X0,b)),X1) = add(c,add(multiply(a,X0),X1)),
inference(superposition,[status(thm)],[c_191,c_65]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i] : add(multiply(a,add(b,X0)),X1) = add(c,add(multiply(a,X0),X1)),
inference(superposition,[status(thm)],[c_189,c_65]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i] : add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_65,c_64]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_70,c_67]) ).
tcf(c_247,plain,
! [X0: $i] : multiply(a,multiply(b,X0)) = multiply(c,X0),
inference(superposition,[status(thm)],[c_71,c_67]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),multiply(X0,multiply(X1,multiply(X0,X1)))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_67,c_70]) ).
tcf(c_298,plain,
! [X0: $i] : add(c,add(multiply(a,X0),additive_inverse(multiply(a,add(X0,b))))) = additive_identity,
inference(superposition,[status(thm)],[c_235,c_64]) ).
tcf(c_335,plain,
! [X0: $i] : add(c,add(multiply(a,X0),additive_inverse(multiply(a,add(b,X0))))) = additive_identity,
inference(superposition,[status(thm)],[c_66,c_298]) ).
tcf(c_374,plain,
add(c,add(multiply(a,additive_inverse(b)),additive_inverse(multiply(a,additive_identity)))) = additive_identity,
inference(superposition,[status(thm)],[c_64,c_335]) ).
tcf(c_389,plain,
! [X0: $i] : add(c,add(add(multiply(a,additive_inverse(b)),additive_inverse(multiply(a,additive_identity))),X0)) = add(additive_identity,X0),
inference(superposition,[status(thm)],[c_374,c_65]) ).
tcf(c_390,plain,
! [X0: $i] : add(c,add(multiply(a,additive_inverse(b)),add(additive_inverse(multiply(a,additive_identity)),X0))) = add(additive_identity,X0),
inference(theory_normalisation,[status(thm)],[c_389,c_65,c_66]) ).
tcf(c_391,plain,
! [X0: $i] : add(c,add(multiply(a,additive_inverse(b)),add(additive_inverse(multiply(a,additive_identity)),X0))) = X0,
inference(light_normalisation,[status(thm)],[c_390,c_61]) ).
tcf(c_408,plain,
multiply(c,multiply(b,b)) = multiply(a,b),
inference(superposition,[status(thm)],[c_70,c_247]) ).
tcf(c_416,plain,
multiply(c,multiply(b,b)) = c,
inference(light_normalisation,[status(thm)],[c_408,c_71]) ).
tcf(c_448,plain,
! [X0: $i,X1: $i] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_233,c_61]) ).
tcf(c_453,plain,
! [X0: $i] : add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(superposition,[status(thm)],[c_64,c_448]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_66,c_448]) ).
tcf(c_461,plain,
! [X0: $i] : add(c,add(multiply(a,add(additive_inverse(b),X0)),additive_inverse(multiply(a,X0)))) = additive_identity,
inference(superposition,[status(thm)],[c_448,c_335]) ).
tcf(c_464,plain,
! [X0: $i] : add(c,add(multiply(a,additive_inverse(b)),X0)) = add(additive_inverse(additive_inverse(multiply(a,additive_identity))),X0),
inference(superposition,[status(thm)],[c_448,c_391]) ).
tcf(c_467,plain,
! [X0: $i] : additive_inverse(additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_453,c_62]) ).
tcf(c_469,plain,
! [X0: $i] : add(c,add(additive_inverse(multiply(a,X0)),multiply(a,add(additive_inverse(b),X0)))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_461,c_65,c_66]) ).
tcf(c_506,plain,
! [X0: $i] : add(c,add(multiply(a,add(X0,additive_inverse(b))),additive_inverse(multiply(a,X0)))) = additive_identity,
inference(superposition,[status(thm)],[c_454,c_335]) ).
tcf(c_513,plain,
! [X0: $i] : add(c,add(additive_inverse(multiply(a,X0)),multiply(a,add(X0,additive_inverse(b))))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_506,c_65,c_66]) ).
tcf(c_526,plain,
! [X0: $i] : multiply(add(a,X0),b) = add(c,multiply(X0,b)),
inference(superposition,[status(thm)],[c_71,c_69]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : add(multiply(X0,multiply(X1,X2)),multiply(X3,X2)) = multiply(add(multiply(X0,X1),X3),X2),
inference(superposition,[status(thm)],[c_67,c_69]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : add(multiply(X0,X1),multiply(X2,multiply(X3,X1))) = multiply(add(X0,multiply(X2,X3)),X1),
inference(superposition,[status(thm)],[c_67,c_69]) ).
tcf(c_542,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X2,X0),X1),
inference(superposition,[status(thm)],[c_69,c_66]) ).
tcf(c_584,plain,
add(c,add(additive_inverse(c),multiply(a,add(additive_inverse(b),b)))) = additive_identity,
inference(superposition,[status(thm)],[c_71,c_469]) ).
tcf(c_597,plain,
add(c,add(additive_inverse(c),multiply(a,add(b,additive_inverse(b))))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_584,c_65,c_66]) ).
tcf(c_609,plain,
multiply(a,additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_597,c_64,c_448]) ).
tcf(c_611,plain,
! [X0: $i] : multiply(a,multiply(additive_identity,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_609,c_67]) ).
tcf(c_654,plain,
! [X0: $i,X1: $i] : add(c,add(additive_inverse(multiply(a,add(X0,X1))),multiply(a,add(X0,add(X1,additive_inverse(b)))))) = additive_identity,
inference(superposition,[status(thm)],[c_65,c_513]) ).
tcf(c_682,plain,
! [X0: $i] : add(c,add(additive_inverse(multiply(additive_identity,X0)),multiply(a,add(additive_inverse(b),multiply(additive_identity,X0))))) = additive_identity,
inference(superposition,[status(thm)],[c_611,c_469]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i] : add(X0,additive_inverse(add(additive_inverse(X1),X0))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_238,c_448]) ).
tcf(c_876,plain,
! [X0: $i] : add(c,add(multiply(a,additive_inverse(b)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_464,c_61,c_186,c_609]) ).
tcf(c_899,plain,
multiply(a,additive_inverse(b)) = additive_inverse(c),
inference(superposition,[status(thm)],[c_876,c_454]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X0,multiply(X0,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_246,c_67]) ).
tcf(c_1076,plain,
multiply(a,multiply(a,c)) = c,
inference(superposition,[status(thm)],[c_71,c_1073]) ).
tcf(c_1080,plain,
! [X0: $i] : multiply(a,multiply(a,multiply(c,X0))) = multiply(c,X0),
inference(superposition,[status(thm)],[c_247,c_1073]) ).
tcf(c_1164,plain,
! [X0: $i] : multiply(a,add(multiply(a,c),X0)) = add(c,multiply(a,X0)),
inference(superposition,[status(thm)],[c_1076,c_68]) ).
tcf(c_1176,plain,
! [X0: $i] : multiply(a,add(multiply(a,c),X0)) = multiply(a,add(b,X0)),
inference(light_normalisation,[status(thm)],[c_1164,c_189]) ).
tcf(c_1186,plain,
! [X0: $i] : multiply(X0,multiply(X0,X0)) = add(X0,multiply(X0,additive_identity)),
inference(superposition,[status(thm)],[c_62,c_220]) ).
tcf(c_1187,plain,
! [X0: $i] : add(X0,multiply(X0,additive_inverse(multiply(X0,X0)))) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_64,c_220]) ).
tcf(c_1221,plain,
! [X0: $i] : add(X0,multiply(X0,additive_identity)) = X0,
inference(light_normalisation,[status(thm)],[c_1186,c_70]) ).
tcf(c_1594,plain,
! [X0: $i] : add(X0,additive_inverse(X0)) = multiply(additive_inverse(X0),additive_identity),
inference(superposition,[status(thm)],[c_1221,c_448]) ).
tcf(c_1598,plain,
! [X0: $i] : multiply(additive_inverse(X0),additive_identity) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1594,c_64]) ).
tcf(c_1640,plain,
! [X0: $i] : multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_467,c_1598]) ).
tcf(c_1651,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(additive_identity,X1)) = multiply(additive_identity,X1),
inference(superposition,[status(thm)],[c_1640,c_67]) ).
tcf(c_1652,plain,
! [X0: $i,X1: $i] : multiply(X0,add(additive_identity,X1)) = add(additive_identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_1640,c_68]) ).
tcf(c_2133,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,add(multiply(additive_identity,X1),X2)) = add(multiply(additive_identity,X1),multiply(X0,X2)),
inference(superposition,[status(thm)],[c_1651,c_68]) ).
tcf(c_2198,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,add(X1,X2)),additive_inverse(multiply(X0,X2))) = add(multiply(X0,X1),additive_identity),
inference(superposition,[status(thm)],[c_64,c_234]) ).
tcf(c_2242,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,add(X1,X2)),additive_inverse(multiply(X0,X1))) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_234,c_454]) ).
tcf(c_2243,plain,
! [X0: $i,X1: $i,X2: $i] : add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X1,X2))) = multiply(X0,X2),
inference(theory_normalisation,[status(thm)],[c_2242,c_65,c_66]) ).
tcf(c_2248,plain,
! [X0: $i,X1: $i,X2: $i] : add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X2,X1))) = add(additive_identity,multiply(X0,X2)),
inference(theory_normalisation,[status(thm)],[c_2198,c_65,c_66]) ).
tcf(c_2568,plain,
! [X0: $i] : add(c,add(multiply(a,additive_inverse(b)),X0)) = add(multiply(a,additive_identity),X0),
inference(superposition,[status(thm)],[c_64,c_236]) ).
tcf(c_2616,plain,
! [X0: $i] : add(c,add(additive_inverse(c),X0)) = add(multiply(a,additive_identity),X0),
inference(light_normalisation,[status(thm)],[c_2568,c_899]) ).
tcf(c_4141,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_249,c_67]) ).
tcf(c_4602,plain,
! [X0: $i] : add(c,add(multiply(X0,b),additive_inverse(multiply(add(a,X0),b)))) = additive_identity,
inference(superposition,[status(thm)],[c_526,c_238]) ).
tcf(c_4604,plain,
! [X0: $i,X1: $i] : add(X0,multiply(add(a,X1),b)) = add(c,add(X0,multiply(X1,b))),
inference(superposition,[status(thm)],[c_526,c_183]) ).
tcf(c_4802,plain,
! [X0: $i,X1: $i] : add(c,add(multiply(X0,multiply(X1,b)),additive_inverse(multiply(add(a,multiply(X0,X1)),b)))) = additive_identity,
inference(superposition,[status(thm)],[c_67,c_4602]) ).
tcf(c_4806,plain,
add(c,add(multiply(additive_inverse(a),b),additive_inverse(multiply(additive_identity,b)))) = additive_identity,
inference(superposition,[status(thm)],[c_64,c_4602]) ).
tcf(c_4813,plain,
! [X0: $i] : add(c,add(multiply(add(X0,additive_inverse(a)),b),additive_inverse(multiply(X0,b)))) = additive_identity,
inference(superposition,[status(thm)],[c_454,c_4602]) ).
tcf(c_4825,plain,
! [X0: $i] : add(c,add(additive_inverse(multiply(X0,b)),multiply(add(X0,additive_inverse(a)),b))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_4813,c_65,c_66]) ).
tcf(c_4859,plain,
! [X0: $i] : add(c,add(X0,add(multiply(additive_inverse(a),b),additive_inverse(multiply(additive_identity,b))))) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_4806,c_183]) ).
tcf(c_4864,plain,
! [X0: $i] : add(c,add(X0,add(multiply(additive_inverse(a),b),additive_inverse(multiply(additive_identity,b))))) = X0,
inference(light_normalisation,[status(thm)],[c_4859,c_62]) ).
tcf(c_4974,plain,
add(c,add(additive_inverse(c),multiply(add(a,additive_inverse(a)),b))) = additive_identity,
inference(superposition,[status(thm)],[c_71,c_4825]) ).
tcf(c_5051,plain,
multiply(additive_identity,b) = additive_identity,
inference(demodulation,[status(thm)],[c_4974,c_61,c_64,c_526,c_1640,c_1652,c_2616,c_4604]) ).
tcf(c_5061,plain,
! [X0: $i] : multiply(additive_identity,add(b,X0)) = add(additive_identity,multiply(additive_identity,X0)),
inference(superposition,[status(thm)],[c_5051,c_68]) ).
tcf(c_5460,plain,
! [X0: $i] : add(c,add(X0,add(multiply(additive_inverse(a),b),additive_identity))) = X0,
inference(light_normalisation,[status(thm)],[c_4864,c_186,c_5051]) ).
tcf(c_5461,plain,
! [X0: $i] : add(c,add(X0,multiply(additive_inverse(a),b))) = X0,
inference(demodulation,[status(thm)],[c_5460,c_62]) ).
tcf(c_5482,plain,
multiply(additive_inverse(a),b) = additive_inverse(c),
inference(superposition,[status(thm)],[c_5461,c_448]) ).
tcf(c_5511,plain,
! [X0: $i] : multiply(additive_inverse(a),multiply(b,X0)) = multiply(additive_inverse(c),X0),
inference(superposition,[status(thm)],[c_5482,c_67]) ).
tcf(c_5865,plain,
! [X0: $i,X1: $i] : add(X0,additive_inverse(add(additive_inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[c_729,c_62]) ).
tcf(c_5873,plain,
! [X0: $i,X1: $i] : add(X0,additive_inverse(add(X0,additive_inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_66,c_5865]) ).
tcf(c_5883,plain,
! [X0: $i,X1: $i] : add(X0,additive_inverse(add(X1,X0))) = additive_inverse(X1),
inference(superposition,[status(thm)],[c_467,c_5865]) ).
tcf(c_6157,plain,
! [X0: $i,X1: $i] : add(X0,additive_inverse(add(X0,X1))) = additive_inverse(X1),
inference(superposition,[status(thm)],[c_467,c_5873]) ).
tcf(c_6318,plain,
! [X0: $i] : add(add(additive_inverse(multiply(additive_identity,X0)),multiply(a,add(additive_inverse(b),multiply(additive_identity,X0)))),additive_inverse(additive_identity)) = additive_inverse(c),
inference(superposition,[status(thm)],[c_682,c_5883]) ).
tcf(c_6393,plain,
! [X0: $i] : add(additive_inverse(additive_identity),add(additive_inverse(multiply(additive_identity,X0)),multiply(a,add(additive_inverse(b),multiply(additive_identity,X0))))) = additive_inverse(c),
inference(theory_normalisation,[status(thm)],[c_6318,c_65,c_66]) ).
tcf(c_6394,plain,
! [X0: $i] : add(additive_identity,add(additive_inverse(multiply(additive_identity,X0)),multiply(a,add(additive_inverse(b),multiply(additive_identity,X0))))) = additive_inverse(c),
inference(light_normalisation,[status(thm)],[c_6393,c_186]) ).
tcf(c_6526,plain,
! [X0: $i,X1: $i] : additive_inverse(add(additive_inverse(X0),X1)) = add(X0,additive_inverse(X1)),
inference(superposition,[status(thm)],[c_6157,c_448]) ).
tcf(c_6905,plain,
! [X0: $i,X1: $i] : add(additive_inverse(X0),additive_inverse(X1)) = additive_inverse(add(X0,X1)),
inference(superposition,[status(thm)],[c_467,c_6526]) ).
tcf(c_6966,plain,
! [X0: $i,X1: $i,X2: $i] : add(additive_inverse(X0),add(additive_inverse(X1),X2)) = add(additive_inverse(add(X0,X1)),X2),
inference(superposition,[status(thm)],[c_6905,c_65]) ).
tcf(c_9329,plain,
! [X0: $i] : add(additive_inverse(multiply(additive_identity,X0)),multiply(a,add(additive_inverse(b),multiply(additive_identity,X0)))) = additive_inverse(c),
inference(demodulation,[status(thm)],[c_6394,c_61]) ).
tcf(c_9360,plain,
! [X0: $i] : add(multiply(a,add(additive_inverse(b),multiply(additive_identity,X0))),additive_inverse(additive_inverse(c))) = additive_inverse(additive_inverse(multiply(additive_identity,X0))),
inference(superposition,[status(thm)],[c_9329,c_5883]) ).
tcf(c_9363,plain,
! [X0: $i] : multiply(a,add(additive_inverse(b),multiply(additive_identity,X0))) = add(multiply(additive_identity,X0),additive_inverse(c)),
inference(superposition,[status(thm)],[c_9329,c_448]) ).
tcf(c_9372,plain,
! [X0: $i] : multiply(a,add(additive_inverse(b),multiply(additive_identity,X0))) = add(additive_inverse(c),multiply(additive_identity,X0)),
inference(theory_normalisation,[status(thm)],[c_9363,c_65,c_66]) ).
tcf(c_9373,plain,
! [X0: $i] : add(additive_inverse(additive_inverse(c)),multiply(a,add(additive_inverse(b),multiply(additive_identity,X0)))) = additive_inverse(additive_inverse(multiply(additive_identity,X0))),
inference(theory_normalisation,[status(thm)],[c_9360,c_65,c_66]) ).
tcf(c_9892,plain,
! [X0: $i] : add(additive_inverse(additive_inverse(c)),add(additive_inverse(c),multiply(additive_identity,X0))) = additive_inverse(additive_inverse(multiply(additive_identity,X0))),
inference(light_normalisation,[status(thm)],[c_9373,c_9372]) ).
tcf(c_9893,plain,
! [X0: $i] : multiply(additive_identity,add(b,X0)) = multiply(additive_identity,X0),
inference(demodulation,[status(thm)],[c_9892,c_64,c_467,c_5061,c_6526,c_6966]) ).
tcf(c_9896,plain,
multiply(additive_identity,additive_inverse(b)) = multiply(additive_identity,additive_identity),
inference(superposition,[status(thm)],[c_64,c_9893]) ).
tcf(c_9947,plain,
multiply(additive_identity,additive_inverse(b)) = additive_identity,
inference(demodulation,[status(thm)],[c_9896,c_1640]) ).
tcf(c_9953,plain,
! [X0: $i] : multiply(additive_identity,multiply(additive_inverse(b),X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_9947,c_67]) ).
tcf(c_11927,plain,
multiply(additive_inverse(c),multiply(b,b)) = multiply(additive_inverse(a),b),
inference(superposition,[status(thm)],[c_70,c_5511]) ).
tcf(c_11951,plain,
multiply(additive_inverse(c),multiply(b,b)) = additive_inverse(c),
inference(light_normalisation,[status(thm)],[c_11927,c_5482]) ).
tcf(c_12333,plain,
add(c,add(additive_inverse(c),additive_inverse(multiply(add(a,multiply(additive_inverse(c),b)),b)))) = additive_identity,
inference(superposition,[status(thm)],[c_11951,c_4802]) ).
tcf(c_12679,plain,
additive_inverse(multiply(add(a,multiply(additive_inverse(c),b)),b)) = additive_identity,
inference(demodulation,[status(thm)],[c_12333,c_61,c_1640,c_2616]) ).
tcf(c_12685,plain,
multiply(add(a,multiply(additive_inverse(c),b)),b) = additive_inverse(additive_identity),
inference(superposition,[status(thm)],[c_12679,c_467]) ).
tcf(c_12696,plain,
multiply(add(a,multiply(additive_inverse(c),b)),b) = additive_identity,
inference(light_normalisation,[status(thm)],[c_12685,c_186]) ).
tcf(c_12727,plain,
! [X0: $i] : multiply(add(a,multiply(additive_inverse(c),b)),multiply(b,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_12696,c_67]) ).
tcf(c_13925,plain,
! [X0: $i,X1: $i] : multiply(add(multiply(X0,X0),X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_70,c_527]) ).
tcf(c_13931,plain,
! [X0: $i] : multiply(add(multiply(c,b),X0),b) = add(c,multiply(X0,b)),
inference(superposition,[status(thm)],[c_416,c_527]) ).
tcf(c_13947,plain,
! [X0: $i,X1: $i] : multiply(add(multiply(additive_identity,additive_inverse(b)),X0),X1) = add(multiply(additive_identity,X1),multiply(X0,X1)),
inference(superposition,[status(thm)],[c_9953,c_527]) ).
tcf(c_14098,plain,
! [X0: $i] : multiply(add(multiply(c,b),X0),b) = multiply(add(a,X0),b),
inference(light_normalisation,[status(thm)],[c_13931,c_526]) ).
tcf(c_14111,plain,
! [X0: $i,X1: $i] : add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_13947,c_61,c_9947]) ).
tcf(c_15492,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,multiply(additive_identity,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_14111,c_66,c_2133]) ).
tcf(c_15573,plain,
! [X0: $i] : add(c,add(additive_inverse(multiply(a,X0)),multiply(a,add(X0,add(multiply(additive_identity,X0),additive_inverse(b)))))) = additive_identity,
inference(superposition,[status(thm)],[c_15492,c_654]) ).
tcf(c_15639,plain,
! [X0: $i] : add(c,add(additive_inverse(multiply(a,X0)),multiply(a,add(X0,add(additive_inverse(b),multiply(additive_identity,X0)))))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_15573,c_65,c_66]) ).
tcf(c_16625,plain,
! [X0: $i] : add(X0,multiply(X0,additive_inverse(multiply(X0,X0)))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1187,c_1640]) ).
tcf(c_16650,plain,
! [X0: $i] : add(c,add(multiply(a,multiply(b,additive_inverse(multiply(b,b)))),X0)) = add(multiply(a,additive_identity),X0),
inference(superposition,[status(thm)],[c_16625,c_236]) ).
tcf(c_16874,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(add(X0,multiply(X1,X2)),additive_identity) = add(multiply(X0,additive_identity),multiply(X1,additive_identity)),
inference(superposition,[status(thm)],[c_1640,c_535]) ).
tcf(c_16957,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(add(X0,multiply(X1,X2)),additive_identity) = add(additive_identity,multiply(X1,additive_identity)),
inference(light_normalisation,[status(thm)],[c_16874,c_1640]) ).
tcf(c_17491,plain,
! [X0: $i] : add(c,add(multiply(c,additive_inverse(multiply(b,b))),X0)) = X0,
inference(demodulation,[status(thm)],[c_16650,c_61,c_247,c_1640]) ).
tcf(c_17525,plain,
multiply(c,additive_inverse(multiply(b,b))) = additive_inverse(c),
inference(superposition,[status(thm)],[c_17491,c_454]) ).
tcf(c_17607,plain,
! [X0: $i] : multiply(c,multiply(additive_inverse(multiply(b,b)),X0)) = multiply(additive_inverse(c),X0),
inference(superposition,[status(thm)],[c_17525,c_67]) ).
tcf(c_23235,plain,
! [X0: $i] : multiply(additive_identity,X0) = additive_identity,
inference(demodulation,[status(thm)],[c_15639,c_448,c_2243,c_9372]) ).
tcf(c_23244,plain,
! [X0: $i] : multiply(add(a,multiply(additive_inverse(c),b)),multiply(b,X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_12727,c_23235]) ).
tcf(c_23456,plain,
multiply(b,add(a,multiply(additive_inverse(c),b))) = multiply(b,additive_identity),
inference(superposition,[status(thm)],[c_23244,c_4141]) ).
tcf(c_23505,plain,
multiply(b,add(a,multiply(additive_inverse(c),b))) = additive_identity,
inference(demodulation,[status(thm)],[c_23456,c_1640]) ).
tcf(c_23524,plain,
multiply(c,add(a,multiply(additive_inverse(c),b))) = multiply(a,additive_identity),
inference(superposition,[status(thm)],[c_23505,c_247]) ).
tcf(c_23557,plain,
multiply(c,add(a,multiply(additive_inverse(c),b))) = additive_identity,
inference(demodulation,[status(thm)],[c_23524,c_1640]) ).
tcf(c_23566,plain,
! [X0: $i] : multiply(c,multiply(add(a,multiply(additive_inverse(c),b)),X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_23557,c_67]) ).
tcf(c_23586,plain,
! [X0: $i] : multiply(c,multiply(add(a,multiply(additive_inverse(c),b)),X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_23566,c_23235]) ).
tcf(c_23862,plain,
multiply(add(a,multiply(additive_inverse(c),b)),c) = multiply(add(a,multiply(additive_inverse(c),b)),additive_identity),
inference(superposition,[status(thm)],[c_23586,c_4141]) ).
tcf(c_28551,plain,
multiply(a,add(b,additive_inverse(multiply(a,c)))) = multiply(a,additive_identity),
inference(superposition,[status(thm)],[c_64,c_1176]) ).
tcf(c_28706,plain,
multiply(a,add(b,additive_inverse(multiply(a,c)))) = additive_identity,
inference(demodulation,[status(thm)],[c_28551,c_1640]) ).
tcf(c_28715,plain,
! [X0: $i] : multiply(a,multiply(add(b,additive_inverse(multiply(a,c))),X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_28706,c_67]) ).
tcf(c_28742,plain,
! [X0: $i] : multiply(a,multiply(add(b,additive_inverse(multiply(a,c))),X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_28715,c_23235]) ).
tcf(c_30037,plain,
multiply(add(b,additive_inverse(multiply(a,c))),a) = multiply(add(b,additive_inverse(multiply(a,c))),additive_identity),
inference(superposition,[status(thm)],[c_28742,c_4141]) ).
tcf(c_33635,plain,
multiply(add(a,multiply(additive_inverse(c),b)),c) = additive_identity,
inference(demodulation,[status(thm)],[c_23862,c_61,c_1640,c_16957]) ).
tcf(c_46141,plain,
multiply(add(b,additive_inverse(multiply(a,c))),a) = additive_identity,
inference(demodulation,[status(thm)],[c_30037,c_1640]) ).
tcf(c_46152,plain,
! [X0: $i] : multiply(add(b,additive_inverse(multiply(a,c))),multiply(a,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_46141,c_67]) ).
tcf(c_46158,plain,
! [X0: $i] : multiply(add(X0,add(b,additive_inverse(multiply(a,c)))),a) = add(multiply(X0,a),additive_identity),
inference(superposition,[status(thm)],[c_46141,c_69]) ).
tcf(c_46165,plain,
! [X0: $i] : multiply(add(b,additive_inverse(multiply(a,c))),multiply(a,X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_46152,c_23235]) ).
tcf(c_46166,plain,
! [X0: $i] : multiply(add(X0,add(b,additive_inverse(multiply(a,c)))),a) = add(additive_identity,multiply(X0,a)),
inference(theory_normalisation,[status(thm)],[c_46158,c_65,c_66]) ).
tcf(c_46218,plain,
! [X0: $i] : multiply(add(b,additive_inverse(multiply(a,c))),multiply(c,X0)) = additive_identity,
inference(superposition,[status(thm)],[c_1080,c_46165]) ).
tcf(c_46644,plain,
multiply(c,add(b,additive_inverse(multiply(a,c)))) = multiply(c,additive_identity),
inference(superposition,[status(thm)],[c_46218,c_4141]) ).
tcf(c_46779,plain,
multiply(c,add(b,additive_inverse(multiply(a,c)))) = additive_identity,
inference(demodulation,[status(thm)],[c_46644,c_1640]) ).
tcf(c_46793,plain,
! [X0: $i] : multiply(c,add(X0,add(b,additive_inverse(multiply(a,c))))) = add(multiply(c,X0),additive_identity),
inference(superposition,[status(thm)],[c_46779,c_68]) ).
tcf(c_46807,plain,
! [X0: $i] : multiply(c,add(X0,add(b,additive_inverse(multiply(a,c))))) = add(additive_identity,multiply(c,X0)),
inference(theory_normalisation,[status(thm)],[c_46793,c_65,c_66]) ).
tcf(c_50614,plain,
! [X0: $i] : multiply(add(X0,add(b,additive_inverse(multiply(a,c)))),a) = multiply(X0,a),
inference(demodulation,[status(thm)],[c_46166,c_61]) ).
tcf(c_50625,plain,
multiply(multiply(a,c),a) = multiply(b,a),
inference(superposition,[status(thm)],[c_454,c_50614]) ).
tcf(c_50696,plain,
multiply(a,multiply(c,a)) = multiply(b,a),
inference(demodulation,[status(thm)],[c_50625,c_67]) ).
tcf(c_53862,plain,
! [X0: $i] : multiply(c,add(X0,add(b,additive_inverse(multiply(a,c))))) = multiply(c,X0),
inference(demodulation,[status(thm)],[c_46807,c_61]) ).
tcf(c_53878,plain,
multiply(c,multiply(a,c)) = multiply(c,b),
inference(superposition,[status(thm)],[c_454,c_53862]) ).
tcf(c_89562,plain,
! [X0: $i] : add(X0,multiply(additive_inverse(multiply(X0,X0)),X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_64,c_13925]) ).
tcf(c_89803,plain,
! [X0: $i] : add(X0,multiply(additive_inverse(multiply(X0,X0)),X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_89562,c_23235]) ).
tcf(c_91842,plain,
! [X0: $i] : additive_inverse(multiply(additive_inverse(multiply(X0,X0)),X0)) = add(X0,additive_inverse(additive_identity)),
inference(superposition,[status(thm)],[c_89803,c_6157]) ).
tcf(c_91892,plain,
! [X0: $i] : additive_inverse(multiply(additive_inverse(multiply(X0,X0)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_91842,c_62,c_186]) ).
tcf(c_91976,plain,
! [X0: $i] : multiply(additive_inverse(multiply(X0,X0)),X0) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_91892,c_467]) ).
tcf(c_93742,plain,
multiply(add(a,additive_inverse(multiply(c,b))),b) = multiply(additive_identity,b),
inference(superposition,[status(thm)],[c_64,c_14098]) ).
tcf(c_93916,plain,
multiply(add(a,additive_inverse(multiply(c,b))),b) = additive_identity,
inference(demodulation,[status(thm)],[c_93742,c_23235]) ).
tcf(c_93935,plain,
! [X0: $i] : multiply(add(a,additive_inverse(multiply(c,b))),multiply(b,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_93916,c_67]) ).
tcf(c_93959,plain,
! [X0: $i] : multiply(add(a,additive_inverse(multiply(c,b))),multiply(b,X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_93935,c_23235]) ).
tcf(c_95295,plain,
multiply(b,add(a,additive_inverse(multiply(c,b)))) = multiply(b,additive_identity),
inference(superposition,[status(thm)],[c_93959,c_4141]) ).
tcf(c_95610,plain,
multiply(b,add(a,additive_inverse(multiply(c,b)))) = additive_identity,
inference(demodulation,[status(thm)],[c_95295,c_1640]) ).
tcf(c_95650,plain,
multiply(c,add(a,additive_inverse(multiply(c,b)))) = multiply(a,additive_identity),
inference(superposition,[status(thm)],[c_95610,c_247]) ).
tcf(c_95712,plain,
multiply(c,add(a,additive_inverse(multiply(c,b)))) = additive_identity,
inference(demodulation,[status(thm)],[c_95650,c_1640]) ).
tcf(c_102153,plain,
multiply(additive_inverse(c),b) = multiply(c,additive_inverse(b)),
inference(superposition,[status(thm)],[c_91976,c_17607]) ).
tcf(c_102382,plain,
multiply(add(a,multiply(c,additive_inverse(b))),c) = additive_identity,
inference(demodulation,[status(thm)],[c_33635,c_102153]) ).
tcf(c_102952,plain,
! [X0: $i] : multiply(add(add(a,multiply(c,additive_inverse(b))),X0),c) = add(multiply(X0,c),additive_identity),
inference(superposition,[status(thm)],[c_102382,c_542]) ).
tcf(c_102966,plain,
! [X0: $i] : multiply(add(a,add(multiply(c,additive_inverse(b)),X0)),c) = add(additive_identity,multiply(X0,c)),
inference(theory_normalisation,[status(thm)],[c_102952,c_65,c_66]) ).
tcf(c_126341,plain,
! [X0: $i,X1: $i,X2: $i] : add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X2,X1))) = multiply(X0,X2),
inference(demodulation,[status(thm)],[c_2248,c_61]) ).
tcf(c_126751,plain,
add(additive_inverse(multiply(c,additive_inverse(multiply(c,b)))),additive_identity) = multiply(c,a),
inference(superposition,[status(thm)],[c_95712,c_126341]) ).
tcf(c_126772,plain,
! [X0: $i,X1: $i] : add(additive_inverse(multiply(X0,additive_inverse(X1))),multiply(X0,additive_identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_64,c_126341]) ).
tcf(c_126906,plain,
! [X0: $i,X1: $i] : add(multiply(X0,additive_identity),additive_inverse(multiply(X0,additive_inverse(X1)))) = multiply(X0,X1),
inference(theory_normalisation,[status(thm)],[c_126772,c_65,c_66]) ).
tcf(c_126907,plain,
! [X0: $i,X1: $i] : add(additive_identity,additive_inverse(multiply(X0,additive_inverse(X1)))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_126906,c_1640]) ).
tcf(c_126915,plain,
add(additive_identity,additive_inverse(multiply(c,additive_inverse(multiply(c,b))))) = multiply(c,a),
inference(theory_normalisation,[status(thm)],[c_126751,c_65,c_66]) ).
tcf(c_127737,plain,
multiply(c,multiply(c,b)) = multiply(c,a),
inference(demodulation,[status(thm)],[c_126915,c_126907]) ).
tcf(c_130371,plain,
! [X0: $i,X1: $i] : additive_inverse(multiply(X0,additive_inverse(X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_126907,c_61]) ).
tcf(c_130476,plain,
! [X0: $i,X1: $i] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_130371,c_467]) ).
tcf(c_182872,plain,
! [X0: $i] : multiply(add(a,add(multiply(c,additive_inverse(b)),X0)),c) = multiply(X0,c),
inference(demodulation,[status(thm)],[c_102966,c_61]) ).
tcf(c_182881,plain,
multiply(additive_inverse(multiply(c,additive_inverse(b))),c) = multiply(add(a,additive_identity),c),
inference(superposition,[status(thm)],[c_64,c_182872]) ).
tcf(c_182972,plain,
multiply(additive_inverse(multiply(c,additive_inverse(b))),c) = multiply(add(additive_identity,a),c),
inference(theory_normalisation,[status(thm)],[c_182881,c_65,c_66]) ).
tcf(c_183083,plain,
multiply(c,multiply(b,c)) = multiply(a,c),
inference(demodulation,[status(thm)],[c_182972,c_61,c_67,c_467,c_130476]) ).
tcf(c_183112,plain,
multiply(c,multiply(c,multiply(a,c))) = multiply(a,c),
inference(superposition,[status(thm)],[c_183083,c_1073]) ).
tcf(c_183155,plain,
multiply(a,c) = multiply(c,a),
inference(light_normalisation,[status(thm)],[c_183112,c_53878,c_127737]) ).
tcf(c_183194,plain,
multiply(a,multiply(a,c)) = multiply(b,a),
inference(demodulation,[status(thm)],[c_50696,c_183155]) ).
tcf(c_183195,plain,
multiply(b,a) = c,
inference(light_normalisation,[status(thm)],[c_183194,c_1076]) ).
tcf(c_183196,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_183195,c_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG009-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 07:43:57 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running UEQ theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 30.46/10.30 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 30.46/10.30 % SZS status Started for theBenchmark.p
% 30.46/10.30 % SZS status Unsatisfiable for theBenchmark.p
% 30.46/10.30
% 30.46/10.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 30.46/10.30
% 30.46/10.30 % ------ iProver source info
% 30.46/10.30
% 30.46/10.30 % git: date: 2026-07-19 20:42:38 +0200
% 30.46/10.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 30.46/10.30 % git: non_committed_changes: false
% 30.46/10.30
% 30.46/10.30 % ------ Parsing...% successful
% 30.46/10.30
% 30.46/10.30
% 30.46/10.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 30.46/10.30
% 30.46/10.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 30.46/10.30
% 30.46/10.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 30.46/10.30
% 30.46/10.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 30.46/10.30 % ------ Proving...
% 30.46/10.30 % ------ Problem Properties
% 30.46/10.30
% 30.46/10.30 %
% 30.46/10.30 % clauses 11
% 30.46/10.30 % conjectures 2
% 30.46/10.30 % EPR 0
% 30.46/10.30 % Horn 11
% 30.46/10.30 % unary 11
% 30.46/10.31 % binary 0
% 30.46/10.31 % lits 11
% 30.46/10.31 % lits eq 11
% 30.46/10.31 % fd_pure 0
% 30.46/10.31 % fd_pseudo 0
% 30.46/10.31 % fd_cond 0
% 30.46/10.31 % fd_pseudo_cond 0
% 30.46/10.31 % AC symbols 1
% 30.46/10.31
% 30.46/10.31 % ------ Input Options Time Limit: Unbounded
% 30.46/10.31
% 30.46/10.31
% 30.46/10.31 % ------
% 30.46/10.31 % Current options:
% 30.46/10.31 % ------
% 30.46/10.31
% 30.46/10.31
% 30.46/10.31 %
% 30.46/10.31
% 30.46/10.31 % ------ Proving...
% 30.46/10.31 %
% 30.46/10.31
% 30.46/10.31 % SZS status Unsatisfiable for theBenchmark.p
% 30.46/10.31
% 30.46/10.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.46/10.31
% 30.46/10.31
%------------------------------------------------------------------------------