%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO023-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 01:00:16 PM UTC 2026
% Result : Unsatisfiable 26.14s 5.21s
% Output : CNFRefutation 26.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 13
% Syntax : Number of formulae : 212 ( 212 unt; 5 def)
% Number of atoms : 554 ( 211 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 247 ( 0 sgn 247 !; 0 ?; 226 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_add) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_add_property) ).
fof(f3,axiom,
! [X0] : add(X0,inverse(X0)) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse) ).
fof(f4,axiom,
! [X2,X0,X1] : pixley(X0,X1,X2) = add(multiply(X0,inverse(X1)),add(multiply(X0,X2),multiply(inverse(X1),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley_defn) ).
fof(f5,axiom,
! [X0,X1] : pixley(X0,X0,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley1) ).
fof(f6,axiom,
! [X0,X1] : pixley(X0,X1,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley2) ).
fof(f7,axiom,
! [X0,X1] : pixley(X0,X1,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley3) ).
fof(f8,negated_conjecture,
add(a,multiply(b,c)) != multiply(add(a,b),add(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_add_multiply_property) ).
fof(f9,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1,
inference(definition_unfolding,[],[f5,f4]) ).
fof(f10,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),add(multiply(X0,X1),multiply(inverse(X1),X1))) = X0,
inference(definition_unfolding,[],[f6,f4]) ).
fof(f11,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),add(multiply(X0,X0),multiply(inverse(X1),X0))) = X0,
inference(definition_unfolding,[],[f7,f4]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : multiply(add(X0,X1),X1) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(X1,add(X0,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i] : add(X0,inverse(X0)) = n1,
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X0)),add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1,
inference(cnf_transformation,[],[f9]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X1)),add(multiply(X0,X1),multiply(inverse(X1),X1))) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X1)),add(multiply(X0,X0),multiply(inverse(X1),X0))) = X0,
inference(cnf_transformation,[],[f11]) ).
tcf(c_63,negated_conjecture,
multiply(add(a,b),add(a,c)) != add(a,multiply(b,c)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X1)),multiply(X0,add(X0,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_62,c_58]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X1)),multiply(X1,add(X0,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_61,c_58]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X0)),multiply(X1,n1)) = X1,
inference(demodulation,[status(thm)],[c_60,c_58,c_59]) ).
tcf(c_91,definition,
iPr_def_10 = add(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_92,definition,
iPr_def_11 = add(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_93,definition,
iPr_def_12 = multiply(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_94,definition,
iPr_def_13 = multiply(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_95,definition,
iPr_def_14 = add(a,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_96,negated_conjecture,
iPr_def_12 != iPr_def_14,
inference(demodulation,[status(thm)],[c_63,c_94,c_95,c_92,c_91,c_93]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X0)),multiply(X1,n1)) = X1,
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X1)),multiply(X1,add(X0,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X1)),multiply(X0,add(X0,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_100,plain,
! [X0: $i] : add(X0,inverse(X0)) = n1,
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(X1,add(X0,X2)),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] : multiply(add(X0,X1),X1) = X1,
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_156,plain,
! [X0: $i] : add(iPr_def_13,multiply(X0,c)) = multiply(c,add(b,X0)),
inference(superposition,[status(thm)],[c_94,c_101]) ).
tcf(c_158,plain,
! [X0: $i] : add(multiply(X0,c),iPr_def_13) = multiply(c,add(X0,b)),
inference(superposition,[status(thm)],[c_94,c_101]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,add(X1,X2)),multiply(X2,X0)) = multiply(X2,X0),
inference(superposition,[status(thm)],[c_101,c_102]) ).
tcf(c_165,plain,
! [X0: $i] : multiply(n1,inverse(X0)) = inverse(X0),
inference(superposition,[status(thm)],[c_100,c_102]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X0,add(X0,inverse(X1)))) = multiply(X0,add(X0,inverse(X1))),
inference(superposition,[status(thm)],[c_99,c_102]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,add(X0,inverse(X1)))) = multiply(X1,add(X0,inverse(X1))),
inference(superposition,[status(thm)],[c_98,c_102]) ).
tcf(c_170,plain,
! [X0: $i] : multiply(X0,multiply(X0,n1)) = multiply(X0,n1),
inference(superposition,[status(thm)],[c_97,c_102]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,add(add(X1,X0),X2)) = add(X0,multiply(X2,X0)),
inference(superposition,[status(thm)],[c_102,c_101]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,add(X1,add(X2,X0))) = add(multiply(X1,X0),X0),
inference(superposition,[status(thm)],[c_102,c_101]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X0)),n1) = add(X1,n1),
inference(superposition,[status(thm)],[c_102,c_97]) ).
tcf(c_177,plain,
! [X0: $i] : add(X0,n1) = iPr_def_15,
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_176]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] : add(inverse(X0),multiply(X1,inverse(X0))) = multiply(inverse(X0),add(n1,X1)),
inference(superposition,[status(thm)],[c_165,c_101]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X1)),inverse(X1)) = multiply(inverse(X1),add(X0,n1)),
inference(superposition,[status(thm)],[c_165,c_101]) ).
tcf(c_202,plain,
! [X0: $i] : add(inverse(X0),multiply(n1,add(n1,inverse(X0)))) = n1,
inference(superposition,[status(thm)],[c_165,c_99]) ).
tcf(c_203,plain,
! [X0: $i] : add(inverse(X0),multiply(X0,add(n1,inverse(X0)))) = n1,
inference(superposition,[status(thm)],[c_165,c_98]) ).
tcf(c_204,plain,
! [X0: $i] : add(inverse(n1),multiply(X0,n1)) = X0,
inference(superposition,[status(thm)],[c_165,c_97]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i] : add(multiply(X0,inverse(X1)),inverse(X1)) = multiply(inverse(X1),iPr_def_15),
inference(demodulation,[status(thm)],[c_201,c_177]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] : add(multiply(X0,multiply(X1,n1)),multiply(X1,n1)) = multiply(multiply(X1,n1),add(X0,X1)),
inference(superposition,[status(thm)],[c_170,c_101]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] : add(add(iPr_def_13,multiply(X0,c)),multiply(X1,add(b,X0))) = multiply(add(b,X0),add(c,X1)),
inference(superposition,[status(thm)],[c_156,c_101]) ).
tcf(c_226,plain,
add(multiply(b,inverse(c)),add(iPr_def_13,multiply(inverse(c),c))) = b,
inference(superposition,[status(thm)],[c_156,c_98]) ).
tcf(c_250,plain,
add(multiply(a,c),iPr_def_13) = multiply(c,iPr_def_10),
inference(superposition,[status(thm)],[c_91,c_158]) ).
tcf(c_262,plain,
multiply(iPr_def_15,n1) = n1,
inference(superposition,[status(thm)],[c_177,c_102]) ).
tcf(c_265,plain,
! [X0: $i] : add(n1,multiply(X0,n1)) = multiply(n1,add(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_262,c_101]) ).
tcf(c_266,plain,
! [X0: $i] : add(multiply(X0,n1),n1) = multiply(n1,add(X0,iPr_def_15)),
inference(superposition,[status(thm)],[c_262,c_101]) ).
tcf(c_269,plain,
! [X0: $i] : multiply(n1,add(X0,iPr_def_15)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_266,c_177]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i] : add(multiply(X0,add(X1,iPr_def_15)),iPr_def_15) = multiply(add(X1,iPr_def_15),add(X0,n1)),
inference(superposition,[status(thm)],[c_269,c_101]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i] : add(multiply(X0,add(X1,iPr_def_15)),iPr_def_15) = iPr_def_15,
inference(demodulation,[status(thm)],[c_273,c_102,c_177]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,multiply(X1,add(X2,X3))),multiply(multiply(X3,X1),X0)) = multiply(multiply(X3,X1),X0),
inference(superposition,[status(thm)],[c_101,c_164]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(multiply(X2,add(X1,inverse(X2))),X0)) = multiply(multiply(X2,add(X1,inverse(X2))),X0),
inference(superposition,[status(thm)],[c_98,c_164]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i] : multiply(multiply(add(b,X0),add(X1,c)),add(iPr_def_13,multiply(X0,c))) = add(iPr_def_13,multiply(X0,c)),
inference(superposition,[status(thm)],[c_156,c_164]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i] : multiply(multiply(add(X0,iPr_def_15),add(X1,n1)),iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_269,c_164]) ).
tcf(c_322,plain,
multiply(iPr_def_15,iPr_def_15) = iPr_def_15,
inference(demodulation,[status(thm)],[c_317,c_102,c_177]) ).
tcf(c_368,plain,
! [X0: $i] : add(X0,multiply(n1,X0)) = multiply(X0,iPr_def_15),
inference(superposition,[status(thm)],[c_177,c_172]) ).
tcf(c_403,plain,
! [X0: $i] : add(iPr_def_15,multiply(X0,iPr_def_15)) = multiply(iPr_def_15,add(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_322,c_101]) ).
tcf(c_545,plain,
! [X0: $i] : multiply(multiply(X0,iPr_def_15),multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_274,c_164]) ).
tcf(c_548,plain,
multiply(n1,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_274,c_269]) ).
tcf(c_549,plain,
! [X0: $i] : add(multiply(X0,iPr_def_15),iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_274,c_274]) ).
tcf(c_624,plain,
! [X0: $i] : multiply(inverse(X0),add(n1,n1)) = add(inverse(X0),inverse(X0)),
inference(superposition,[status(thm)],[c_165,c_200]) ).
tcf(c_629,plain,
! [X0: $i] : add(inverse(X0),inverse(X0)) = multiply(inverse(X0),iPr_def_15),
inference(demodulation,[status(thm)],[c_624,c_177]) ).
tcf(c_656,plain,
add(multiply(n1,n1),multiply(n1,n1)) = multiply(multiply(n1,n1),iPr_def_15),
inference(superposition,[status(thm)],[c_170,c_368]) ).
tcf(c_672,plain,
multiply(multiply(n1,n1),iPr_def_15) = iPr_def_15,
inference(demodulation,[status(thm)],[c_656,c_101,c_177,c_548]) ).
tcf(c_689,plain,
! [X0: $i] : multiply(iPr_def_15,add(X0,multiply(n1,n1))) = add(multiply(X0,iPr_def_15),iPr_def_15),
inference(superposition,[status(thm)],[c_672,c_101]) ).
tcf(c_691,plain,
! [X0: $i] : multiply(iPr_def_15,add(X0,multiply(n1,n1))) = iPr_def_15,
inference(demodulation,[status(thm)],[c_689,c_549]) ).
tcf(c_700,plain,
add(n1,multiply(inverse(iPr_def_15),n1)) = multiply(n1,n1),
inference(superposition,[status(thm)],[c_100,c_265]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i] : add(multiply(X0,add(iPr_def_15,X1)),add(n1,multiply(X1,n1))) = multiply(add(iPr_def_15,X1),add(X0,n1)),
inference(superposition,[status(thm)],[c_265,c_101]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i] : add(multiply(X0,add(iPr_def_15,X1)),add(n1,multiply(X1,n1))) = multiply(add(iPr_def_15,X1),iPr_def_15),
inference(demodulation,[status(thm)],[c_707,c_177]) ).
tcf(c_839,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),add(X1,multiply(inverse(X0),iPr_def_15))) = add(multiply(X1,inverse(X0)),inverse(X0)),
inference(superposition,[status(thm)],[c_205,c_173]) ).
tcf(c_842,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),add(X1,multiply(inverse(X0),iPr_def_15))) = multiply(inverse(X0),iPr_def_15),
inference(demodulation,[status(thm)],[c_839,c_205]) ).
tcf(c_898,plain,
! [X0: $i] : add(add(iPr_def_13,multiply(X0,c)),add(iPr_def_13,multiply(X0,c))) = multiply(add(b,X0),add(c,c)),
inference(superposition,[status(thm)],[c_156,c_224]) ).
tcf(c_1048,plain,
! [X0: $i] : multiply(multiply(X0,b),multiply(add(iPr_def_13,multiply(inverse(c),c)),X0)) = multiply(add(iPr_def_13,multiply(inverse(c),c)),X0),
inference(superposition,[status(thm)],[c_226,c_164]) ).
tcf(c_1169,plain,
multiply(iPr_def_15,n1) = iPr_def_15,
inference(superposition,[status(thm)],[c_97,c_691]) ).
tcf(c_1184,plain,
n1 = iPr_def_15,
inference(demodulation,[status(thm)],[c_262,c_1169]) ).
tcf(c_1187,plain,
! [X0: $i,X1: $i] : add(multiply(X0,multiply(X1,iPr_def_15)),multiply(X1,iPr_def_15)) = multiply(multiply(X1,iPr_def_15),add(X0,X1)),
inference(demodulation,[status(thm)],[c_220,c_1184]) ).
tcf(c_1189,plain,
add(iPr_def_15,multiply(inverse(iPr_def_15),iPr_def_15)) = multiply(iPr_def_15,iPr_def_15),
inference(demodulation,[status(thm)],[c_700,c_1184]) ).
tcf(c_1192,plain,
! [X0: $i] : add(X0,multiply(iPr_def_15,X0)) = multiply(X0,iPr_def_15),
inference(demodulation,[status(thm)],[c_368,c_1184]) ).
tcf(c_1193,plain,
! [X0: $i] : add(inverse(X0),multiply(X0,add(iPr_def_15,inverse(X0)))) = iPr_def_15,
inference(demodulation,[status(thm)],[c_203,c_1184]) ).
tcf(c_1194,plain,
! [X0: $i] : add(inverse(X0),multiply(iPr_def_15,add(iPr_def_15,inverse(X0)))) = iPr_def_15,
inference(demodulation,[status(thm)],[c_202,c_1184]) ).
tcf(c_1205,plain,
! [X0: $i] : add(X0,iPr_def_15) = iPr_def_15,
inference(demodulation,[status(thm)],[c_177,c_1184]) ).
tcf(c_1207,plain,
! [X0: $i] : add(inverse(iPr_def_15),multiply(X0,iPr_def_15)) = X0,
inference(demodulation,[status(thm)],[c_204,c_1184]) ).
tcf(c_1208,plain,
! [X0: $i] : multiply(iPr_def_15,inverse(X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_165,c_1184]) ).
tcf(c_1210,plain,
! [X0: $i] : add(X0,inverse(X0)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_100,c_1184]) ).
tcf(c_1212,plain,
! [X0: $i] : add(inverse(X0),add(iPr_def_15,multiply(inverse(X0),iPr_def_15))) = iPr_def_15,
inference(demodulation,[status(thm)],[c_1194,c_403]) ).
tcf(c_1213,plain,
add(iPr_def_15,multiply(inverse(iPr_def_15),iPr_def_15)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_1189,c_322]) ).
tcf(c_1371,plain,
multiply(iPr_def_15,multiply(inverse(iPr_def_15),iPr_def_15)) = multiply(inverse(iPr_def_15),iPr_def_15),
inference(superposition,[status(thm)],[c_1213,c_102]) ).
tcf(c_1379,plain,
! [X0: $i] : add(multiply(iPr_def_15,add(iPr_def_15,inverse(X0))),multiply(iPr_def_15,add(iPr_def_15,inverse(X0)))) = multiply(multiply(iPr_def_15,add(iPr_def_15,inverse(X0))),iPr_def_15),
inference(superposition,[status(thm)],[c_168,c_1192]) ).
tcf(c_1407,plain,
! [X0: $i] : multiply(add(iPr_def_15,multiply(inverse(X0),iPr_def_15)),iPr_def_15) = multiply(add(iPr_def_15,inverse(X0)),iPr_def_15),
inference(demodulation,[status(thm)],[c_1379,c_101,c_403,c_1205]) ).
tcf(c_1673,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(X1,iPr_def_11)),multiply(multiply(c,X1),X0)) = multiply(multiply(c,X1),X0),
inference(superposition,[status(thm)],[c_92,c_290]) ).
tcf(c_2663,plain,
add(multiply(inverse(iPr_def_15),iPr_def_15),multiply(inverse(iPr_def_15),iPr_def_15)) = multiply(multiply(inverse(iPr_def_15),iPr_def_15),iPr_def_15),
inference(superposition,[status(thm)],[c_1371,c_1192]) ).
tcf(c_2664,plain,
multiply(multiply(inverse(iPr_def_15),iPr_def_15),iPr_def_15) = multiply(inverse(iPr_def_15),iPr_def_15),
inference(demodulation,[status(thm)],[c_2663,c_101,c_629,c_1371]) ).
tcf(c_2713,plain,
! [X0: $i] : multiply(multiply(add(b,b),add(X0,c)),add(iPr_def_13,iPr_def_13)) = add(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_94,c_306]) ).
tcf(c_2779,plain,
! [X0: $i] : add(multiply(inverse(iPr_def_15),iPr_def_15),multiply(X0,iPr_def_15)) = multiply(iPr_def_15,add(multiply(inverse(iPr_def_15),iPr_def_15),X0)),
inference(superposition,[status(thm)],[c_2664,c_101]) ).
tcf(c_2786,plain,
add(inverse(iPr_def_15),multiply(inverse(iPr_def_15),iPr_def_15)) = multiply(inverse(iPr_def_15),iPr_def_15),
inference(superposition,[status(thm)],[c_2664,c_1207]) ).
tcf(c_2787,plain,
multiply(inverse(iPr_def_15),iPr_def_15) = inverse(iPr_def_15),
inference(demodulation,[status(thm)],[c_2786,c_1207]) ).
tcf(c_2790,plain,
! [X0: $i] : add(inverse(iPr_def_15),multiply(X0,iPr_def_15)) = multiply(iPr_def_15,add(inverse(iPr_def_15),X0)),
inference(demodulation,[status(thm)],[c_2779,c_2787]) ).
tcf(c_2791,plain,
! [X0: $i] : multiply(iPr_def_15,add(inverse(iPr_def_15),X0)) = X0,
inference(demodulation,[status(thm)],[c_2790,c_1207]) ).
tcf(c_2937,plain,
multiply(iPr_def_15,iPr_def_15) = inverse(inverse(iPr_def_15)),
inference(superposition,[status(thm)],[c_1210,c_2791]) ).
tcf(c_2944,plain,
! [X0: $i] : multiply(X0,iPr_def_15) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_1207,c_2791]) ).
tcf(c_2962,plain,
! [X0: $i] : multiply(multiply(add(inverse(iPr_def_15),X0),iPr_def_15),X0) = X0,
inference(superposition,[status(thm)],[c_2791,c_545]) ).
tcf(c_2964,plain,
inverse(inverse(iPr_def_15)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_2937,c_322]) ).
tcf(c_2966,plain,
! [X0: $i] : multiply(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_2962,c_2791,c_2944]) ).
tcf(c_2982,plain,
! [X0: $i] : add(inverse(X0),add(iPr_def_15,multiply(iPr_def_15,inverse(X0)))) = iPr_def_15,
inference(demodulation,[status(thm)],[c_1212,c_2944]) ).
tcf(c_2996,plain,
! [X0: $i] : add(inverse(X0),add(iPr_def_15,inverse(X0))) = iPr_def_15,
inference(demodulation,[status(thm)],[c_2982,c_1208]) ).
tcf(c_3019,plain,
! [X0: $i] : multiply(X0,multiply(inverse(iPr_def_15),add(X0,iPr_def_15))) = multiply(inverse(iPr_def_15),add(X0,iPr_def_15)),
inference(superposition,[status(thm)],[c_2964,c_169]) ).
tcf(c_3021,plain,
! [X0: $i] : add(multiply(X0,iPr_def_15),multiply(X0,add(X0,iPr_def_15))) = X0,
inference(superposition,[status(thm)],[c_2964,c_99]) ).
tcf(c_3025,plain,
! [X0: $i] : multiply(iPr_def_15,add(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_3021,c_101,c_1205]) ).
tcf(c_3027,plain,
! [X0: $i] : multiply(X0,inverse(iPr_def_15)) = inverse(iPr_def_15),
inference(demodulation,[status(thm)],[c_3019,c_1205,c_1208,c_2944]) ).
tcf(c_3038,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = multiply(X0,add(X0,X1)),
inference(superposition,[status(thm)],[c_2966,c_101]) ).
tcf(c_3039,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),X1) = multiply(X1,add(X0,X1)),
inference(superposition,[status(thm)],[c_2966,c_101]) ).
tcf(c_3099,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,multiply(inverse(X1),X0))) = add(X0,multiply(inverse(X1),X0)),
inference(demodulation,[status(thm)],[c_168,c_3038]) ).
tcf(c_3105,plain,
! [X0: $i,X1: $i] : add(X0,multiply(multiply(inverse(X1),X0),X0)) = add(X0,multiply(inverse(X1),X0)),
inference(demodulation,[status(thm)],[c_3099,c_3038]) ).
tcf(c_3162,plain,
! [X0: $i] : add(X0,multiply(inverse(X0),X0)) = multiply(X0,iPr_def_15),
inference(superposition,[status(thm)],[c_1210,c_3038]) ).
tcf(c_3191,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,multiply(X1,X0)),multiply(X2,add(X0,X1))) = multiply(add(X0,X1),add(X0,X2)),
inference(superposition,[status(thm)],[c_3038,c_101]) ).
tcf(c_4279,plain,
! [X0: $i,X1: $i] : add(multiply(iPr_def_15,X0),multiply(X1,iPr_def_15)) = multiply(iPr_def_15,add(X0,X1)),
inference(superposition,[status(thm)],[c_2944,c_101]) ).
tcf(c_4292,plain,
! [X0: $i] : add(inverse(iPr_def_15),multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_2944,c_1207]) ).
tcf(c_4340,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(X0,add(X1,X1))) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_101,c_3025]) ).
tcf(c_4396,plain,
! [X0: $i] : add(inverse(iPr_def_15),multiply(iPr_def_15,add(X0,inverse(iPr_def_15)))) = X0,
inference(superposition,[status(thm)],[c_3027,c_98]) ).
tcf(c_4406,plain,
! [X0: $i] : add(X0,inverse(iPr_def_15)) = X0,
inference(demodulation,[status(thm)],[c_4396,c_4292]) ).
tcf(c_4428,plain,
add(multiply(a,c),c) = multiply(c,iPr_def_11),
inference(superposition,[status(thm)],[c_92,c_3039]) ).
tcf(c_4430,plain,
add(multiply(a,iPr_def_13),iPr_def_13) = multiply(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_95,c_3039]) ).
tcf(c_4988,plain,
! [X0: $i] : add(multiply(X0,inverse(iPr_def_15)),inverse(iPr_def_15)) = multiply(inverse(iPr_def_15),X0),
inference(superposition,[status(thm)],[c_4406,c_3039]) ).
tcf(c_4990,plain,
! [X0: $i] : add(X0,multiply(inverse(iPr_def_15),X0)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_4406,c_3038]) ).
tcf(c_5005,plain,
! [X0: $i,X1: $i] : add(X0,multiply(inverse(iPr_def_15),X0)) = multiply(X0,add(X1,X0)),
inference(superposition,[status(thm)],[c_4406,c_172]) ).
tcf(c_5026,plain,
! [X0: $i] : add(X0,multiply(inverse(iPr_def_15),X0)) = X0,
inference(demodulation,[status(thm)],[c_4990,c_2966]) ).
tcf(c_5028,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_5005,c_5026]) ).
tcf(c_5029,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(X0,inverse(iPr_def_15)),
inference(demodulation,[status(thm)],[c_4988,c_4406]) ).
tcf(c_5030,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = inverse(iPr_def_15),
inference(demodulation,[status(thm)],[c_5029,c_3027]) ).
tcf(c_5046,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),X1) = X1,
inference(demodulation,[status(thm)],[c_3039,c_5028]) ).
tcf(c_5056,plain,
multiply(c,iPr_def_11) = c,
inference(demodulation,[status(thm)],[c_4428,c_5046]) ).
tcf(c_5057,plain,
multiply(iPr_def_13,iPr_def_14) = iPr_def_13,
inference(demodulation,[status(thm)],[c_4430,c_5046]) ).
tcf(c_5089,plain,
! [X0: $i] : add(c,multiply(X0,iPr_def_11)) = multiply(iPr_def_11,add(c,X0)),
inference(superposition,[status(thm)],[c_5056,c_101]) ).
tcf(c_5123,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,add(X0,X0))) = multiply(iPr_def_15,add(X0,X0)),
inference(superposition,[status(thm)],[c_102,c_4340]) ).
tcf(c_5124,plain,
! [X0: $i] : multiply(X0,add(X0,X0)) = multiply(iPr_def_15,add(X0,X0)),
inference(superposition,[status(thm)],[c_2966,c_4340]) ).
tcf(c_5139,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(iPr_def_15,multiply(X0,multiply(X1,add(X2,X2)))) = multiply(multiply(X2,X1),X0),
inference(superposition,[status(thm)],[c_101,c_4340]) ).
tcf(c_5151,plain,
! [X0: $i] : add(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_5124,c_2966,c_3025,c_3038]) ).
tcf(c_5152,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X0)) = multiply(iPr_def_15,X0),
inference(demodulation,[status(thm)],[c_5123,c_5151]) ).
tcf(c_5153,plain,
! [X0: $i] : multiply(iPr_def_15,X0) = X0,
inference(demodulation,[status(thm)],[c_5152,c_5028]) ).
tcf(c_5154,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X2,multiply(X1,X0)),
inference(demodulation,[status(thm)],[c_5139,c_5151,c_5153]) ).
tcf(c_5173,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_4340,c_5151]) ).
tcf(c_5174,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_5173,c_5153]) ).
tcf(c_5186,plain,
add(multiply(a,c),iPr_def_13) = multiply(iPr_def_10,c),
inference(demodulation,[status(thm)],[c_250,c_5174]) ).
tcf(c_5188,plain,
multiply(iPr_def_11,iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_93,c_5174]) ).
tcf(c_5207,plain,
! [X0: $i] : add(inverse(iPr_def_15),X0) = X0,
inference(demodulation,[status(thm)],[c_2791,c_5153]) ).
tcf(c_5208,plain,
! [X0: $i] : multiply(X0,iPr_def_15) = X0,
inference(demodulation,[status(thm)],[c_1207,c_5207]) ).
tcf(c_5465,plain,
! [X0: $i] : add(multiply(X0,iPr_def_14),iPr_def_13) = multiply(iPr_def_14,add(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_5057,c_101]) ).
tcf(c_5540,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = multiply(X0,add(iPr_def_15,X1)),
inference(superposition,[status(thm)],[c_5153,c_101]) ).
tcf(c_5611,plain,
add(c,multiply(iPr_def_15,iPr_def_11)) = multiply(iPr_def_11,iPr_def_15),
inference(superposition,[status(thm)],[c_1205,c_5089]) ).
tcf(c_5627,plain,
add(c,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_5611,c_5153,c_5208]) ).
tcf(c_5999,plain,
add(multiply(a,iPr_def_14),iPr_def_13) = multiply(iPr_def_14,iPr_def_14),
inference(superposition,[status(thm)],[c_95,c_5465]) ).
tcf(c_6011,plain,
add(multiply(iPr_def_14,a),iPr_def_13) = iPr_def_14,
inference(demodulation,[status(thm)],[c_5999,c_2966,c_5174]) ).
tcf(c_6774,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,iPr_def_15),multiply(add(X1,multiply(inverse(X1),X1)),X0)) = multiply(add(X1,multiply(inverse(X1),X1)),X0),
inference(superposition,[status(thm)],[c_5540,c_295]) ).
tcf(c_6780,plain,
! [X0: $i] : add(inverse(X0),add(X0,multiply(inverse(X0),X0))) = iPr_def_15,
inference(superposition,[status(thm)],[c_5540,c_1193]) ).
tcf(c_6784,plain,
! [X0: $i] : add(inverse(X0),X0) = iPr_def_15,
inference(demodulation,[status(thm)],[c_6780,c_3162,c_5208]) ).
tcf(c_6802,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,X0)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_6774,c_3162,c_5208]) ).
tcf(c_7370,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,iPr_def_15)) = multiply(iPr_def_15,add(X0,X1)),
inference(light_normalisation,[status(thm)],[c_4279,c_5153]) ).
tcf(c_7526,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(X0,inverse(X0))) = multiply(X0,inverse(X0)),
inference(superposition,[status(thm)],[c_5207,c_169]) ).
tcf(c_7553,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = inverse(iPr_def_15),
inference(demodulation,[status(thm)],[c_7526,c_5030]) ).
tcf(c_7570,plain,
! [X0: $i] : add(multiply(inverse(inverse(X0)),inverse(X0)),multiply(X0,iPr_def_15)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_6784,c_98]) ).
tcf(c_7573,plain,
add(multiply(inverse(b),c),iPr_def_13) = multiply(c,iPr_def_15),
inference(superposition,[status(thm)],[c_6784,c_158]) ).
tcf(c_7590,plain,
add(multiply(c,inverse(b)),iPr_def_13) = c,
inference(demodulation,[status(thm)],[c_7573,c_5174,c_5208]) ).
tcf(c_7593,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_7570,c_5174,c_5207,c_5208,c_7553]) ).
tcf(c_7618,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(inverse(X1),add(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_7593,c_98]) ).
tcf(c_8774,plain,
multiply(multiply(add(b,b),iPr_def_11),add(iPr_def_13,iPr_def_13)) = add(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_92,c_2713]) ).
tcf(c_8789,plain,
multiply(iPr_def_13,multiply(iPr_def_11,b)) = iPr_def_13,
inference(demodulation,[status(thm)],[c_8774,c_5151,c_5154]) ).
tcf(c_8980,plain,
! [X0: $i,X1: $i] : add(X0,multiply(multiply(multiply(inverse(X1),X0),X0),iPr_def_15)) = multiply(iPr_def_15,add(X0,multiply(inverse(X1),X0))),
inference(superposition,[status(thm)],[c_3105,c_7370]) ).
tcf(c_9030,plain,
! [X0: $i,X1: $i] : add(X0,multiply(inverse(X1),X0)) = add(X0,multiply(X0,inverse(X1))),
inference(demodulation,[status(thm)],[c_8980,c_5153,c_5154,c_7370,c_6802]) ).
tcf(c_12047,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),X0) = X0,
inference(superposition,[status(thm)],[c_5174,c_5046]) ).
tcf(c_12098,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = multiply(add(iPr_def_15,X1),X0),
inference(superposition,[status(thm)],[c_5174,c_5540]) ).
tcf(c_13352,plain,
! [X0: $i,X1: $i] : add(multiply(multiply(X0,multiply(X1,iPr_def_15)),multiply(X1,iPr_def_15)),multiply(inverse(multiply(X1,iPr_def_15)),multiply(multiply(X1,iPr_def_15),add(X0,X1)))) = multiply(X0,multiply(X1,iPr_def_15)),
inference(superposition,[status(thm)],[c_1187,c_7618]) ).
tcf(c_13362,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_13352,c_4406,c_5028,c_5154,c_5174,c_5208,c_7553]) ).
tcf(c_14579,plain,
! [X0: $i,X1: $i] : add(multiply(X0,add(iPr_def_15,X1)),add(iPr_def_15,multiply(X1,iPr_def_15))) = multiply(add(iPr_def_15,X1),iPr_def_15),
inference(light_normalisation,[status(thm)],[c_715,c_1184]) ).
tcf(c_17856,plain,
multiply(iPr_def_13,c) = iPr_def_13,
inference(superposition,[status(thm)],[c_7590,c_5028]) ).
tcf(c_18391,plain,
! [X0: $i] : add(iPr_def_13,multiply(X0,c)) = multiply(c,add(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_17856,c_101]) ).
tcf(c_18392,plain,
! [X0: $i] : add(multiply(X0,c),iPr_def_13) = multiply(c,add(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_17856,c_101]) ).
tcf(c_18551,plain,
add(multiply(a,c),iPr_def_13) = multiply(c,iPr_def_14),
inference(superposition,[status(thm)],[c_95,c_18392]) ).
tcf(c_18567,plain,
! [X0: $i,X1: $i] : add(add(multiply(X0,c),iPr_def_13),multiply(X1,add(X0,iPr_def_13))) = multiply(add(X0,iPr_def_13),add(c,X1)),
inference(superposition,[status(thm)],[c_18392,c_101]) ).
tcf(c_18593,plain,
multiply(iPr_def_10,c) = multiply(iPr_def_14,c),
inference(demodulation,[status(thm)],[c_18551,c_5174,c_5186]) ).
tcf(c_18838,plain,
! [X0: $i] : add(multiply(inverse(X0),iPr_def_15),add(iPr_def_15,multiply(multiply(inverse(X0),iPr_def_15),iPr_def_15))) = multiply(add(iPr_def_15,multiply(inverse(X0),iPr_def_15)),iPr_def_15),
inference(superposition,[status(thm)],[c_842,c_14579]) ).
tcf(c_18842,plain,
! [X0: $i] : add(iPr_def_15,inverse(X0)) = iPr_def_15,
inference(demodulation,[status(thm)],[c_18838,c_1407,c_2996,c_5153,c_5154,c_5208,c_9030,c_12098]) ).
tcf(c_18945,plain,
! [X0: $i] : add(iPr_def_15,X0) = iPr_def_15,
inference(superposition,[status(thm)],[c_7593,c_18842]) ).
tcf(c_18968,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = multiply(X0,iPr_def_15),
inference(demodulation,[status(thm)],[c_5540,c_18945]) ).
tcf(c_18970,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_18968,c_5208]) ).
tcf(c_19617,plain,
! [X0: $i,X1: $i,X2: $i] : add(X0,multiply(X1,add(X0,X2))) = multiply(add(X0,X2),add(X0,X1)),
inference(light_normalisation,[status(thm)],[c_3191,c_18970]) ).
tcf(c_19627,plain,
! [X0: $i] : add(a,multiply(X0,iPr_def_10)) = multiply(iPr_def_10,add(a,X0)),
inference(superposition,[status(thm)],[c_91,c_19617]) ).
tcf(c_19628,plain,
! [X0: $i] : add(a,multiply(X0,iPr_def_11)) = multiply(iPr_def_11,add(a,X0)),
inference(superposition,[status(thm)],[c_92,c_19617]) ).
tcf(c_19630,plain,
! [X0: $i] : add(a,multiply(X0,iPr_def_14)) = multiply(iPr_def_14,add(a,X0)),
inference(superposition,[status(thm)],[c_95,c_19617]) ).
tcf(c_19926,plain,
add(a,multiply(c,iPr_def_10)) = multiply(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_92,c_19627]) ).
tcf(c_19959,plain,
add(a,multiply(iPr_def_14,c)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_19926,c_5174,c_5188,c_18593]) ).
tcf(c_20021,plain,
! [X0: $i] : add(add(iPr_def_13,multiply(c,X0)),add(iPr_def_13,multiply(c,X0))) = multiply(add(b,X0),add(c,c)),
inference(superposition,[status(thm)],[c_5174,c_898]) ).
tcf(c_20039,plain,
! [X0: $i] : add(iPr_def_13,multiply(X0,c)) = add(iPr_def_13,multiply(c,X0)),
inference(demodulation,[status(thm)],[c_20021,c_156,c_5151,c_5174]) ).
tcf(c_20200,plain,
add(a,multiply(c,iPr_def_14)) = multiply(iPr_def_14,iPr_def_11),
inference(superposition,[status(thm)],[c_92,c_19630]) ).
tcf(c_20203,plain,
add(a,multiply(a,iPr_def_14)) = multiply(iPr_def_14,a),
inference(superposition,[status(thm)],[c_5151,c_19630]) ).
tcf(c_20228,plain,
multiply(iPr_def_14,a) = a,
inference(demodulation,[status(thm)],[c_20203,c_5174,c_18970]) ).
tcf(c_20230,plain,
multiply(iPr_def_14,iPr_def_11) = iPr_def_12,
inference(demodulation,[status(thm)],[c_20200,c_5174,c_19959]) ).
tcf(c_20242,plain,
add(a,iPr_def_13) = iPr_def_14,
inference(demodulation,[status(thm)],[c_6011,c_20228]) ).
tcf(c_28576,plain,
multiply(multiply(add(iPr_def_13,multiply(inverse(c),c)),iPr_def_11),multiply(multiply(c,add(iPr_def_13,multiply(inverse(c),c))),multiply(iPr_def_11,b))) = multiply(multiply(c,add(iPr_def_13,multiply(inverse(c),c))),multiply(iPr_def_11,b)),
inference(superposition,[status(thm)],[c_1048,c_1673]) ).
tcf(c_28584,plain,
multiply(iPr_def_11,iPr_def_13) = iPr_def_13,
inference(demodulation,[status(thm)],[c_28576,c_4406,c_5154,c_5174,c_6802,c_7553,c_8789,c_13362,c_18391,c_20039]) ).
tcf(c_30273,plain,
add(add(multiply(a,c),iPr_def_13),add(a,multiply(iPr_def_13,iPr_def_11))) = multiply(add(a,iPr_def_13),add(c,iPr_def_11)),
inference(superposition,[status(thm)],[c_19628,c_18567]) ).
tcf(c_30309,plain,
iPr_def_12 = iPr_def_14,
inference(demodulation,[status(thm)],[c_30273,c_5174,c_5186,c_5627,c_12047,c_18593,c_20230,c_20242,c_28584]) ).
tcf(c_30310,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_30309,c_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO023-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 06:38:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running UEQ theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 26.14/5.21 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 26.14/5.21 % SZS status Started for theBenchmark.p
% 26.14/5.21 % SZS status Unsatisfiable for theBenchmark.p
% 26.14/5.21
% 26.14/5.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.14/5.21
% 26.14/5.21 % ------ iProver source info
% 26.14/5.21
% 26.14/5.21 % git: date: 2026-07-19 20:42:38 +0200
% 26.14/5.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.14/5.21 % git: non_committed_changes: false
% 26.14/5.21
% 26.14/5.21 % ------ Parsing...% successful
% 26.14/5.21
% 26.14/5.21
% 26.14/5.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.14/5.21
% 26.14/5.21 % ------ Preprocessing... sup_sim: 3 sf_s rm: 0 0s sf_e pe_s pe_e %
% 26.14/5.21
% 26.14/5.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 26.14/5.21
% 26.14/5.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 26.14/5.21 % ------ Proving...
% 26.14/5.21 % ------ Problem Properties
% 26.14/5.21
% 26.14/5.21 %
% 26.14/5.21 % clauses 12
% 26.14/5.21 % conjectures 1
% 26.14/5.21 % EPR 1
% 26.14/5.21 % Horn 12
% 26.14/5.21 % unary 12
% 26.14/5.21 % binary 0
% 26.14/5.21 % lits 12
% 26.14/5.21 % lits eq 12
% 26.14/5.21 % fd_pure 0
% 26.14/5.21 % fd_pseudo 0
% 26.14/5.21 % fd_cond 0
% 26.14/5.21 % fd_pseudo_cond 0
% 26.14/5.21 % AC symbols 0
% 26.14/5.21
% 26.14/5.21 % ------ Input Options Time Limit: Unbounded
% 26.14/5.21
% 26.14/5.21
% 26.14/5.21 % ------
% 26.14/5.21 % Current options:
% 26.14/5.21 % ------
% 26.14/5.21
% 26.14/5.21
% 26.14/5.21 %
% 26.14/5.21
% 26.14/5.21 % ------ Proving...
% 26.14/5.21 %
% 26.14/5.21
% 26.14/5.21 % SZS status Unsatisfiable for theBenchmark.p
% 26.14/5.21
% 26.14/5.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.14/5.21
% 26.14/5.21
%------------------------------------------------------------------------------