%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 02:38:09 PM UTC 2026
% Result : Unsatisfiable 4.41s 1.43s
% Output : CNFRefutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 12
% Syntax : Number of formulae : 112 ( 97 unt; 1 def)
% Number of atoms : 436 ( 104 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 95 ( 50 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 191 ( 0 sgn 191 !; 0 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X2,X3,X5)
| ~ sum(X0,X4,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
fof(f9,axiom,
! [X2,X0,X1] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X2,X3,X5)
| ~ product(X0,X4,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication2) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X0,X5,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity2) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X5,X1,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity4) ).
fof(f18,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_squared_is_x) ).
fof(f19,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f20,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
tcf(c_69,plain,
! [X0: $i] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_70,plain,
! [X0: $i] : sum(X0,additive_identity,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_74,plain,
! [X0: $i] : sum(X0,additive_inverse(X0),additive_identity),
inference(cnf_transformation,[],[f6]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X2,X5,X4)
| ~ sum(X1,X5,X3)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( product(X2,X5,X4)
| ~ product(X1,X5,X3)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( product(X0,X5,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( product(X5,X1,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_86,plain,
! [X0: $i] : product(X0,X0,X0),
inference(cnf_transformation,[],[f18]) ).
tcf(c_87,plain,
product(a,b,c),
inference(cnf_transformation,[],[f19]) ).
tcf(c_88,negated_conjecture,
~ product(b,a,c),
inference(cnf_transformation,[],[f20]) ).
tcf(c_97,plain,
! [X0: $i] : multiply(X0,X0) = X0,
inference(well_definedness,[status(thm)],[c_86]) ).
tcf(c_98,plain,
multiply(a,b) = c,
inference(well_definedness,[status(thm)],[c_87]) ).
tcf(c_99,plain,
multiply(b,a) != c,
inference(well_definedness,[status(thm)],[c_88]) ).
tcf(c_100,plain,
! [X0: $i] : add(additive_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_69]) ).
tcf(c_101,plain,
! [X0: $i] : add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_70]) ).
tcf(c_105,plain,
! [X0: $i] : add(X0,additive_inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_74]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( add(X2,X5) = X4 )
| ( add(X1,X5) != X3 )
| ( add(X0,X3) != X4 )
| ( add(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_76]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( add(X1,X0) = X2 )
| ( add(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_77]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( multiply(X2,X5) = X4 )
| ( multiply(X1,X5) != X3 )
| ( multiply(X0,X3) != X4 )
| ( multiply(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_79]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( multiply(X0,X5) = X6 )
| ( add(X2,X4) != X6 )
| ( add(X1,X3) != X5 )
| ( multiply(X0,X3) != X4 )
| ( multiply(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_81]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( multiply(X5,X1) = X6 )
| ( add(X2,X4) != X6 )
| ( add(X0,X3) != X5 )
| ( multiply(X3,X1) != X4 )
| ( multiply(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_83]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(unflattening,[status(thm)],[c_110]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(unflattening,[status(thm)],[c_114]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_108]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_122]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_118]) ).
tcf(c_288,definition,
iPr_def_10 = multiply(b,a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_289,plain,
iPr_def_10 != c,
inference(demodulation,[status(thm)],[c_99,c_288]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_248,c_242]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_97,c_246]) ).
tcf(c_353,plain,
! [X0: $i] : multiply(a,multiply(b,X0)) = multiply(c,X0),
inference(superposition,[status(thm)],[c_98,c_246]) ).
tcf(c_354,plain,
! [X0: $i] : multiply(b,multiply(a,X0)) = multiply(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_288,c_246]) ).
tcf(c_357,plain,
multiply(b,a) = multiply(iPr_def_10,a),
inference(superposition,[status(thm)],[c_97,c_354]) ).
tcf(c_358,plain,
multiply(b,c) = multiply(iPr_def_10,b),
inference(superposition,[status(thm)],[c_98,c_354]) ).
tcf(c_360,plain,
multiply(iPr_def_10,a) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_357,c_288]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_105,c_248]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i] : add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_248,c_105]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] : add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_100,c_250]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = multiply(additive_identity,X1),
inference(superposition,[status(thm)],[c_105,c_250]) ).
tcf(c_384,plain,
multiply(b,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_288,c_352]) ).
tcf(c_408,plain,
multiply(a,multiply(b,c)) = c,
inference(superposition,[status(thm)],[c_353,c_97]) ).
tcf(c_410,plain,
multiply(a,multiply(iPr_def_10,b)) = c,
inference(light_normalisation,[status(thm)],[c_408,c_358]) ).
tcf(c_437,plain,
! [X0: $i,X1: $i] : add(multiply(X0,additive_identity),multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_100,c_252]) ).
tcf(c_439,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_105,c_252]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_365,c_100]) ).
tcf(c_460,plain,
! [X0: $i] : add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(superposition,[status(thm)],[c_105,c_455]) ).
tcf(c_472,plain,
! [X0: $i] : additive_inverse(additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_460,c_101]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] : add(X0,additive_inverse(add(additive_inverse(X1),X0))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_367,c_455]) ).
tcf(c_642,plain,
! [X0: $i] : add(multiply(additive_identity,X0),X0) = X0,
inference(superposition,[status(thm)],[c_97,c_370]) ).
tcf(c_673,plain,
! [X0: $i] : add(X0,multiply(additive_identity,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_642,c_248,c_242]) ).
tcf(c_705,plain,
! [X0: $i] : add(X0,additive_inverse(X0)) = multiply(additive_identity,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_673,c_455]) ).
tcf(c_706,plain,
! [X0: $i] : multiply(additive_identity,additive_inverse(X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_705,c_105]) ).
tcf(c_755,plain,
! [X0: $i] : multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_472,c_706]) ).
tcf(c_790,plain,
! [X0: $i] : add(multiply(X0,additive_identity),X0) = X0,
inference(superposition,[status(thm)],[c_97,c_437]) ).
tcf(c_824,plain,
! [X0: $i] : add(X0,multiply(X0,additive_identity)) = X0,
inference(theory_normalisation,[status(thm)],[c_790,c_248,c_242]) ).
tcf(c_862,plain,
! [X0: $i] : add(X0,additive_inverse(X0)) = multiply(additive_inverse(X0),additive_identity),
inference(superposition,[status(thm)],[c_824,c_455]) ).
tcf(c_863,plain,
! [X0: $i] : multiply(additive_inverse(X0),additive_identity) = additive_identity,
inference(light_normalisation,[status(thm)],[c_862,c_105]) ).
tcf(c_955,plain,
! [X0: $i] : multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_472,c_863]) ).
tcf(c_1014,plain,
! [X0: $i,X1: $i] : add(X0,additive_inverse(add(additive_inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[c_524,c_101]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] : add(X0,additive_inverse(add(X1,X0))) = additive_inverse(X1),
inference(superposition,[status(thm)],[c_472,c_1014]) ).
tcf(c_1107,plain,
! [X0: $i,X1: $i] : additive_inverse(add(X0,additive_inverse(X1))) = add(X1,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_1028,c_455]) ).
tcf(c_1162,plain,
! [X0: $i,X1: $i] : add(additive_inverse(X0),additive_inverse(X1)) = additive_inverse(add(X1,X0)),
inference(superposition,[status(thm)],[c_472,c_1107]) ).
tcf(c_1190,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = additive_identity,
inference(demodulation,[status(thm)],[c_372,c_755]) ).
tcf(c_1191,plain,
! [X0: $i] : add(X0,multiply(additive_inverse(X0),X0)) = additive_identity,
inference(superposition,[status(thm)],[c_97,c_1190]) ).
tcf(c_1268,plain,
! [X0: $i] : multiply(additive_inverse(additive_inverse(X0)),additive_inverse(X0)) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_1191,c_455]) ).
tcf(c_1270,plain,
! [X0: $i] : multiply(X0,additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1268,c_101,c_472]) ).
tcf(c_1298,plain,
multiply(iPr_def_10,additive_inverse(a)) = multiply(b,a),
inference(superposition,[status(thm)],[c_1270,c_354]) ).
tcf(c_1300,plain,
multiply(iPr_def_10,additive_inverse(a)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1298,c_288]) ).
tcf(c_1309,plain,
add(iPr_def_10,multiply(additive_inverse(iPr_def_10),additive_inverse(a))) = additive_identity,
inference(superposition,[status(thm)],[c_1300,c_1190]) ).
tcf(c_1466,plain,
! [X0: $i] : add(iPr_def_10,add(X0,multiply(additive_inverse(iPr_def_10),additive_inverse(a)))) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_1309,c_339]) ).
tcf(c_1468,plain,
! [X0: $i] : add(iPr_def_10,add(X0,multiply(additive_inverse(iPr_def_10),additive_inverse(a)))) = X0,
inference(light_normalisation,[status(thm)],[c_1466,c_101]) ).
tcf(c_1517,plain,
! [X0: $i,X1: $i] : multiply(add(X0,X1),add(additive_inverse(X1),additive_inverse(X0))) = add(X0,X1),
inference(superposition,[status(thm)],[c_1162,c_1270]) ).
tcf(c_2110,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_439,c_955]) ).
tcf(c_2158,plain,
! [X0: $i] : add(multiply(X0,X0),X0) = additive_identity,
inference(superposition,[status(thm)],[c_1270,c_2110]) ).
tcf(c_2181,plain,
! [X0: $i] : add(X0,multiply(X0,X0)) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_2158,c_248,c_242]) ).
tcf(c_2182,plain,
! [X0: $i] : add(X0,X0) = additive_identity,
inference(light_normalisation,[status(thm)],[c_2181,c_97]) ).
tcf(c_2246,plain,
! [X0: $i] : add(X0,additive_identity) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_2182,c_455]) ).
tcf(c_2250,plain,
! [X0: $i] : additive_inverse(X0) = X0,
inference(light_normalisation,[status(thm)],[c_2246,c_101]) ).
tcf(c_2267,plain,
! [X0: $i,X1: $i] : add(X0,add(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_455,c_2250]) ).
tcf(c_2422,plain,
! [X0: $i] : add(iPr_def_10,add(X0,iPr_def_10)) = X0,
inference(demodulation,[status(thm)],[c_1468,c_360,c_2250]) ).
tcf(c_2435,plain,
! [X0: $i,X1: $i] : add(iPr_def_10,add(X0,add(X1,iPr_def_10))) = add(X0,X1),
inference(superposition,[status(thm)],[c_2422,c_339]) ).
tcf(c_2476,plain,
! [X0: $i] : add(add(X0,iPr_def_10),X0) = add(iPr_def_10,additive_identity),
inference(superposition,[status(thm)],[c_2182,c_2435]) ).
tcf(c_2495,plain,
! [X0: $i] : add(X0,add(iPr_def_10,X0)) = add(iPr_def_10,additive_identity),
inference(theory_normalisation,[status(thm)],[c_2476,c_248,c_242]) ).
tcf(c_2503,plain,
! [X0: $i] : add(X0,add(iPr_def_10,X0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2495,c_101]) ).
tcf(c_2519,plain,
! [X0: $i,X1: $i] : add(X0,add(add(iPr_def_10,X0),X1)) = add(iPr_def_10,X1),
inference(superposition,[status(thm)],[c_2503,c_248]) ).
tcf(c_2536,plain,
! [X0: $i,X1: $i] : add(X0,add(iPr_def_10,add(X0,X1))) = add(iPr_def_10,X1),
inference(theory_normalisation,[status(thm)],[c_2519,c_248,c_242]) ).
tcf(c_6577,plain,
! [X0: $i,X1: $i] : multiply(add(X0,X1),add(additive_inverse(X1),X0)) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_1517,c_2250]) ).
tcf(c_6578,plain,
! [X0: $i,X1: $i] : add(X0,add(X1,add(multiply(X0,X1),multiply(X1,X0)))) = add(X0,X1),
inference(demodulation,[status(thm)],[c_6577,c_97,c_242,c_248,c_250,c_252,c_339,c_2250]) ).
tcf(c_6667,plain,
! [X0: $i] : add(iPr_def_10,add(multiply(iPr_def_10,X0),multiply(X0,iPr_def_10))) = add(X0,add(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_6578,c_2536]) ).
tcf(c_6712,plain,
! [X0: $i] : add(iPr_def_10,add(multiply(iPr_def_10,X0),multiply(X0,iPr_def_10))) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_6667,c_2503]) ).
tcf(c_6956,plain,
add(iPr_def_10,add(iPr_def_10,multiply(a,iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_360,c_6712]) ).
tcf(c_6969,plain,
add(iPr_def_10,add(multiply(iPr_def_10,b),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_384,c_6712]) ).
tcf(c_6993,plain,
add(iPr_def_10,add(iPr_def_10,multiply(iPr_def_10,b))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_6969,c_248,c_242]) ).
tcf(c_7018,plain,
multiply(a,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_6956,c_2267]) ).
tcf(c_7025,plain,
! [X0: $i] : multiply(a,multiply(iPr_def_10,X0)) = multiply(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_7018,c_246]) ).
tcf(c_7036,plain,
multiply(iPr_def_10,b) = c,
inference(demodulation,[status(thm)],[c_410,c_7025]) ).
tcf(c_7099,plain,
add(iPr_def_10,add(iPr_def_10,c)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_6993,c_7036]) ).
tcf(c_7100,plain,
c = iPr_def_10,
inference(demodulation,[status(thm)],[c_7099,c_2267]) ).
tcf(c_7121,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_289,c_7100]) ).
tcf(c_7122,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_7121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 07:44:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.44
% 0.15/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.44
% 0.15/0.44 % Detected problem language: tptp
% 0.15/0.46 % Proving...
% 4.41/1.43 % SZS status Started for theBenchmark.p
% 4.41/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 4.41/1.43
% 4.41/1.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.41/1.43
% 4.41/1.43 % ------ iProver source info
% 4.41/1.43
% 4.41/1.43 % git: date: 2026-07-19 20:42:38 +0200
% 4.41/1.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.41/1.43 % git: non_committed_changes: false
% 4.41/1.43
% 4.41/1.43 % ------ Parsing...% successful
% 4.41/1.43
% 4.41/1.43
% 4.41/1.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.41/1.43
% 4.41/1.43 % ------ Preprocessing... sup_sim: 15 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 %
% 4.41/1.43
% 4.41/1.43 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 4.41/1.43 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.41/1.43
% 4.41/1.43 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.41/1.43 % ------ Proving...
% 4.41/1.43 % ------ Problem Properties
% 4.41/1.43
% 4.41/1.43 %
% 4.41/1.43 % clauses 12
% 4.41/1.43 % conjectures 0
% 4.41/1.43 % EPR 1
% 4.41/1.43 % Horn 12
% 4.41/1.43 % unary 12
% 4.41/1.43 % binary 0
% 4.41/1.43 % lits 12
% 4.41/1.43 % lits eq 12
% 4.41/1.43 % fd_pure 0
% 4.41/1.43 % fd_pseudo 0
% 4.41/1.43 % fd_cond 0
% 4.41/1.43 % fd_pseudo_cond 0
% 4.41/1.43 % AC symbols 1
% 4.41/1.43
% 4.41/1.43 % ------ Schedule UEQ
% 4.41/1.43
% 4.41/1.43 % ------ Option_UEQ Time Limit: 10.
% 4.41/1.43
% 4.41/1.43
% 4.41/1.43 % ------
% 4.41/1.43 % Current options:
% 4.41/1.43 % ------
% 4.41/1.43
% 4.41/1.43
% 4.41/1.43 %
% 4.41/1.43
% 4.41/1.43 % ------ Proving...
% 4.41/1.43 %
% 4.41/1.43
% 4.41/1.43 % SZS status Unsatisfiable for theBenchmark.p
% 4.41/1.43
% 4.41/1.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.41/1.43
% 4.41/1.43
%------------------------------------------------------------------------------