%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP499-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 01:34:25 PM UTC 2026
% Result : Unsatisfiable 1.44s 1.74s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 76 ( 76 unt; 0 def)
% Number of atoms : 257 ( 75 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 186 ( 0 sgn 186 !; 0 ?; 180 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2))))) = inverse(double_divide(inverse(double_divide(X3,double_divide(X4,X1))),double_divide(X5,double_divide(X4,X5)))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(inverse(X1),X2))),double_divide(inverse(double_divide(inverse(double_divide(X1,double_divide(X3,X4))),double_divide(X5,double_divide(X3,X5)))),X4)))) = X2,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3)))) = iPr_def_10(X0,X2),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_61]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2))))) = iPr_def_10(X3,X1),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_61]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),iPr_def_10(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_52,c_63]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2)))) = iPr_def_10(X0,iPr_def_10(X3,X1)),
inference(superposition,[status(thm)],[c_65,c_63]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(double_divide(iPr_def_10(X0,X1),double_divide(X2,double_divide(X3,X2)))) = iPr_def_10(inverse(double_divide(X0,double_divide(X4,X1))),double_divide(X4,X3)),
inference(superposition,[status(thm)],[c_63,c_63]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),iPr_def_10(X0,X1)) = iPr_def_10(X2,double_divide(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_63,c_64]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : double_divide(inverse(inverse(double_divide(X0,double_divide(X1,X2)))),inverse(double_divide(iPr_def_10(X0,X2),double_divide(X3,double_divide(inverse(X4),X3))))) = iPr_def_10(X4,double_divide(X5,double_divide(X1,X5))),
inference(superposition,[status(thm)],[c_63,c_64]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(iPr_def_10(X2,X3),X3)))) = iPr_def_10(X2,X1),
inference(superposition,[status(thm)],[c_65,c_64]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] : iPr_def_10(X0,double_divide(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_82,c_65]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(inverse(inverse(double_divide(X1,X2))),X3))),double_divide(inverse(double_divide(iPr_def_10(X1,iPr_def_10(X4,X2)),double_divide(X5,double_divide(X6,X5)))),double_divide(inverse(X4),X6))))) = X3,
inference(superposition,[status(thm)],[c_77,c_62]) ).
tcf(c_353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(double_divide(iPr_def_10(X0,X1),double_divide(X2,double_divide(iPr_def_10(X3,X4),X2)))) = iPr_def_10(inverse(double_divide(X0,double_divide(inverse(X3),X1))),X4),
inference(superposition,[status(thm)],[c_65,c_80]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(inverse(inverse(double_divide(X0,double_divide(X1,X2)))),inverse(double_divide(iPr_def_10(X0,X2),double_divide(X3,double_divide(X4,X3))))) = double_divide(X1,X4),
inference(superposition,[status(thm)],[c_80,c_65]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(double_divide(iPr_def_10(X0,X1),double_divide(X2,double_divide(X3,X2)))) = inverse(double_divide(iPr_def_10(X0,X1),double_divide(X4,double_divide(X3,X4)))),
inference(superposition,[status(thm)],[c_80,c_80]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(inverse(double_divide(iPr_def_10(X2,X3),double_divide(X4,double_divide(X5,X4)))),double_divide(X6,X5))))) = iPr_def_10(inverse(double_divide(X2,double_divide(X6,X3))),X1),
inference(superposition,[status(thm)],[c_80,c_87]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : double_divide(inverse(X0),double_divide(inverse(inverse(double_divide(X1,double_divide(X2,X3)))),inverse(double_divide(iPr_def_10(X1,X3),double_divide(X4,double_divide(inverse(X0),X4)))))) = double_divide(X5,double_divide(X2,X5)),
inference(superposition,[status(thm)],[c_83,c_65]) ).
tcf(c_482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(iPr_def_10(X0,X1),double_divide(X2,double_divide(X3,X2)))) = iPr_def_12(X0,X1,X3),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_379]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(inverse(double_divide(X0,double_divide(X1,X2)))),iPr_def_12(X0,X2,X3)) = double_divide(X1,X3),
inference(demodulation,[status(thm)],[c_378,c_482]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(inverse(double_divide(X0,double_divide(inverse(X1),X2))),X3) = iPr_def_12(X0,X2,iPr_def_10(X1,X3)),
inference(demodulation,[status(thm)],[c_353,c_482]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X0))) = double_divide(X2,double_divide(X1,X2)),
inference(demodulation,[status(thm)],[c_474,c_482,c_484]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = iPr_def_13(X1),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_500]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(iPr_def_12(X2,X3,X4),double_divide(X5,X4))))) = iPr_def_10(inverse(double_divide(X2,double_divide(X5,X3))),X1),
inference(demodulation,[status(thm)],[c_380,c_482]) ).
tcf(c_560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_12(X0,iPr_def_10(X1,X2),iPr_def_10(X1,double_divide(inverse(inverse(double_divide(X0,X2))),X3))) = X3,
inference(demodulation,[status(thm)],[c_245,c_482,c_485,c_532]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : iPr_def_10(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X1,X3)) = iPr_def_12(X0,X2,X3),
inference(demodulation,[status(thm)],[c_80,c_482]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),iPr_def_13(X1))) = iPr_def_10(X0,X2),
inference(demodulation,[status(thm)],[c_63,c_501]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i] : double_divide(iPr_def_10(X0,X1),X1) = iPr_def_13(inverse(X0)),
inference(superposition,[status(thm)],[c_65,c_501]) ).
tcf(c_1216,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X1)) = iPr_def_10(X1,iPr_def_13(X0)),
inference(superposition,[status(thm)],[c_501,c_114]) ).
tcf(c_1226,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(iPr_def_13(X0)),iPr_def_13(X0))) = iPr_def_10(X1,X1),
inference(superposition,[status(thm)],[c_501,c_639]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(iPr_def_10(X0,X1),iPr_def_13(X2))) = iPr_def_12(X0,X1,X2),
inference(superposition,[status(thm)],[c_501,c_482]) ).
tcf(c_1307,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,X0,iPr_def_10(X1,X2)) = iPr_def_10(inverse(iPr_def_13(inverse(X1))),X2),
inference(superposition,[status(thm)],[c_501,c_485]) ).
tcf(c_1358,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,iPr_def_10(inverse(double_divide(X0,X1)),X1),X2) = X2,
inference(superposition,[status(thm)],[c_114,c_560]) ).
tcf(c_1617,plain,
inverse(double_divide(b1,inverse(b1))) != inverse(iPr_def_10(a1,iPr_def_13(a1))),
inference(demodulation,[status(thm)],[c_53,c_1216]) ).
tcf(c_1618,plain,
inverse(iPr_def_10(a1,iPr_def_13(a1))) != inverse(iPr_def_10(b1,iPr_def_13(b1))),
inference(demodulation,[status(thm)],[c_1617,c_1216]) ).
tcf(c_2885,plain,
! [X0: $i,X1: $i] : iPr_def_10(X0,iPr_def_13(iPr_def_10(X1,inverse(X0)))) = iPr_def_13(inverse(X1)),
inference(superposition,[status(thm)],[c_1216,c_1213]) ).
tcf(c_2886,plain,
! [X0: $i,X1: $i] : iPr_def_10(X0,iPr_def_10(X1,iPr_def_13(inverse(X0)))) = inverse(X1),
inference(superposition,[status(thm)],[c_1216,c_114]) ).
tcf(c_2904,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(iPr_def_13(X0)),iPr_def_13(X0))),X1) = iPr_def_13(inverse(X1)),
inference(superposition,[status(thm)],[c_1226,c_1213]) ).
tcf(c_2911,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(iPr_def_13(X0)),iPr_def_13(X0))) = inverse(double_divide(inverse(iPr_def_13(X1)),iPr_def_13(X1))),
inference(superposition,[status(thm)],[c_1226,c_1226]) ).
tcf(c_2913,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(X0,iPr_def_12(X0,X1,X1),X2) = X2,
inference(superposition,[status(thm)],[c_635,c_1358]) ).
tcf(c_2935,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(inverse(double_divide(inverse(iPr_def_13(X0)),iPr_def_13(X0))),iPr_def_13(X1))) = iPr_def_12(X2,X2,X1),
inference(superposition,[status(thm)],[c_1226,c_1235]) ).
tcf(c_3109,plain,
! [X0: $i] : inverse(double_divide(inverse(iPr_def_13(X0)),iPr_def_13(X0))) = iPr_def_18,
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_2911]) ).
tcf(c_3114,plain,
! [X0: $i,X1: $i] : inverse(iPr_def_13(inverse(iPr_def_13(X0)))) = iPr_def_12(X1,X1,X0),
inference(demodulation,[status(thm)],[c_2935,c_2904]) ).
tcf(c_3259,plain,
! [X0: $i] : iPr_def_10(X0,X0) = iPr_def_18,
inference(demodulation,[status(thm)],[c_1226,c_3109]) ).
tcf(c_4077,plain,
! [X0: $i,X1: $i] : inverse(double_divide(iPr_def_18,iPr_def_13(X0))) = iPr_def_12(X1,X1,X0),
inference(superposition,[status(thm)],[c_3259,c_1235]) ).
tcf(c_4078,plain,
! [X0: $i] : double_divide(iPr_def_18,X0) = iPr_def_13(inverse(X0)),
inference(superposition,[status(thm)],[c_3259,c_1213]) ).
tcf(c_4080,plain,
! [X0: $i] : double_divide(inverse(X0),iPr_def_18) = X0,
inference(superposition,[status(thm)],[c_3259,c_65]) ).
tcf(c_4178,plain,
! [X0: $i] : inverse(iPr_def_13(inverse(X0))) = iPr_def_10(X0,iPr_def_18),
inference(superposition,[status(thm)],[c_3259,c_2886]) ).
tcf(c_4261,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,inverse(iPr_def_13(inverse(iPr_def_13(X0)))),X1) = X1,
inference(superposition,[status(thm)],[c_3114,c_2913]) ).
tcf(c_4267,plain,
! [X0: $i] : iPr_def_10(X0,iPr_def_13(iPr_def_18)) = iPr_def_13(inverse(inverse(X0))),
inference(superposition,[status(thm)],[c_3259,c_2885]) ).
tcf(c_4335,plain,
! [X0: $i,X1: $i] : iPr_def_10(inverse(iPr_def_13(inverse(X0))),X0) = iPr_def_12(X1,X1,iPr_def_18),
inference(superposition,[status(thm)],[c_3259,c_1307]) ).
tcf(c_4348,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,iPr_def_10(iPr_def_13(X0),iPr_def_18),X1) = X1,
inference(demodulation,[status(thm)],[c_4261,c_4178]) ).
tcf(c_4352,plain,
! [X0: $i,X1: $i] : iPr_def_12(X0,X0,X1) = iPr_def_10(iPr_def_13(X1),iPr_def_18),
inference(demodulation,[status(thm)],[c_4077,c_4078,c_4178]) ).
tcf(c_4353,plain,
! [X0: $i] : iPr_def_10(iPr_def_10(X0,iPr_def_18),X0) = iPr_def_10(iPr_def_13(iPr_def_18),iPr_def_18),
inference(demodulation,[status(thm)],[c_4335,c_4178,c_4352]) ).
tcf(c_7131,plain,
! [X0: $i] : inverse(iPr_def_10(X0,iPr_def_13(iPr_def_18))) = iPr_def_10(inverse(X0),iPr_def_18),
inference(superposition,[status(thm)],[c_4267,c_4178]) ).
tcf(c_7171,plain,
iPr_def_10(iPr_def_13(iPr_def_18),iPr_def_18) = iPr_def_18,
inference(superposition,[status(thm)],[c_3259,c_4353]) ).
tcf(c_7374,plain,
! [X0: $i] : iPr_def_10(iPr_def_10(X0,iPr_def_18),X0) = iPr_def_18,
inference(demodulation,[status(thm)],[c_4353,c_7171]) ).
tcf(c_8112,plain,
! [X0: $i] : iPr_def_12(iPr_def_18,iPr_def_18,X0) = X0,
inference(superposition,[status(thm)],[c_7171,c_4348]) ).
tcf(c_8163,plain,
! [X0: $i] : double_divide(inverse(iPr_def_10(X0,iPr_def_18)),iPr_def_18) = X0,
inference(superposition,[status(thm)],[c_7374,c_65]) ).
tcf(c_8169,plain,
! [X0: $i] : inverse(iPr_def_10(iPr_def_13(inverse(X0)),iPr_def_18)) = iPr_def_10(X0,iPr_def_18),
inference(superposition,[status(thm)],[c_7374,c_2886]) ).
tcf(c_8170,plain,
! [X0: $i] : iPr_def_13(inverse(iPr_def_10(inverse(X0),iPr_def_18))) = iPr_def_10(X0,iPr_def_13(iPr_def_18)),
inference(superposition,[status(thm)],[c_7374,c_2885]) ).
tcf(c_8293,plain,
! [X0: $i] : double_divide(iPr_def_10(inverse(X0),iPr_def_18),iPr_def_18) = iPr_def_10(X0,iPr_def_13(iPr_def_18)),
inference(superposition,[status(thm)],[c_7131,c_4080]) ).
tcf(c_8346,plain,
! [X0: $i] : iPr_def_10(iPr_def_13(X0),iPr_def_18) = X0,
inference(demodulation,[status(thm)],[c_8112,c_4352]) ).
tcf(c_8359,plain,
! [X0: $i] : iPr_def_10(X0,iPr_def_18) = X0,
inference(demodulation,[status(thm)],[c_8163,c_4080]) ).
tcf(c_8415,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_8169,c_8346,c_8359]) ).
tcf(c_8429,plain,
! [X0: $i] : double_divide(inverse(X0),iPr_def_18) = iPr_def_10(X0,iPr_def_13(iPr_def_18)),
inference(demodulation,[status(thm)],[c_8293,c_8359]) ).
tcf(c_8430,plain,
! [X0: $i] : iPr_def_10(X0,iPr_def_13(iPr_def_18)) = X0,
inference(demodulation,[status(thm)],[c_8429,c_4080]) ).
tcf(c_8444,plain,
! [X0: $i] : iPr_def_13(X0) = X0,
inference(demodulation,[status(thm)],[c_8170,c_8359,c_8415,c_8430]) ).
tcf(c_8593,plain,
inverse(iPr_def_10(b1,iPr_def_13(b1))) != inverse(iPr_def_10(a1,a1)),
inference(demodulation,[status(thm)],[c_1618,c_8444]) ).
tcf(c_8596,plain,
inverse(iPr_def_10(a1,a1)) != inverse(iPr_def_10(b1,b1)),
inference(demodulation,[status(thm)],[c_8593,c_8444]) ).
tcf(c_8597,plain,
$false,
inference(ground_joinability,[status(thm)],[c_8596,c_3259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP499-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 14:57:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running UEQ theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.44/1.74 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.44/1.74 % SZS status Started for theBenchmark.p
% 1.44/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.44/1.74
% 1.44/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.44/1.74
% 1.44/1.74 % ------ iProver source info
% 1.44/1.74
% 1.44/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 1.44/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.44/1.74 % git: non_committed_changes: false
% 1.44/1.74
% 1.44/1.74 % ------ Parsing...% successful
% 1.44/1.74
% 1.44/1.74
% 1.44/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.44/1.74 % ------ Proving...
% 1.44/1.74 % ------ Problem Properties
% 1.44/1.74
% 1.44/1.74 %
% 1.44/1.74 % clauses 2
% 1.44/1.74 % conjectures 1
% 1.44/1.74 % EPR 0
% 1.44/1.74 % Horn 2
% 1.44/1.74 % unary 2
% 1.44/1.74 % binary 0
% 1.44/1.74 % lits 2
% 1.44/1.74 % lits eq 2
% 1.44/1.74 % fd_pure 0
% 1.44/1.74 % fd_pseudo 0
% 1.44/1.74 % fd_cond 0
% 1.44/1.74 % fd_pseudo_cond 0
% 1.44/1.74 % AC symbols 0
% 1.44/1.74
% 1.44/1.74 % ------ Input Options Time Limit: Unbounded
% 1.44/1.74
% 1.44/1.74
% 1.44/1.74 % ------
% 1.44/1.74 % Current options:
% 1.44/1.74 % ------
% 1.44/1.74
% 1.44/1.74
% 1.44/1.74 %
% 1.44/1.74
% 1.44/1.74 % ------ Proving...
% 1.44/1.74 %
% 1.44/1.74
% 1.44/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.44/1.74
% 1.44/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.44/1.75
% 1.44/1.75
%------------------------------------------------------------------------------