%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : BOO038-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:11:22 PM UTC 2026
% Result : Unsatisfiable 22.18s 14.77s
% Output : CNFRefutation 22.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 2
% Syntax : Number of clauses : 93 ( 90 unt; 0 nHn; 6 RR)
% Number of literals : 98 ( 97 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 199 ( 46 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dn1,axiom,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dn1) ).
cnf(huntinton,negated_conjecture,
( add(b,a) != add(a,b)
| add(add(a,b),c) != add(a,add(b,c))
| add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',huntinton) ).
cnf(c_0_2,axiom,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3,
dn1 ).
cnf(c_0_3,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
inverse(add(inverse(add(X1,inverse(X1))),X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1,
inference(spm,[status(thm)],[c_0_2,c_0_4]) ).
cnf(c_0_6,plain,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_5]) ).
cnf(c_0_7,plain,
inverse(add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2)))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,plain,
inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_9,plain,
inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_10,plain,
inverse(add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2)))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_11,plain,
inverse(add(X1,inverse(add(inverse(X2),inverse(add(X2,X1)))))) = inverse(add(X2,X1)),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_12,plain,
inverse(add(X1,inverse(inverse(X1)))) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_11]),c_0_11]) ).
cnf(c_0_13,plain,
inverse(add(inverse(add(X1,inverse(inverse(inverse(X1))))),inverse(inverse(X1)))) = inverse(inverse(inverse(X1))),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_14,plain,
inverse(add(inverse(inverse(inverse(X1))),inverse(X1))) = inverse(inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_13]),c_0_12]) ).
cnf(c_0_15,plain,
inverse(add(inverse(inverse(X1)),X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_14,c_0_2]) ).
cnf(c_0_16,plain,
inverse(add(inverse(X1),inverse(add(X1,X1)))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_17,plain,
inverse(add(inverse(add(inverse(X1),X1)),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_15]) ).
cnf(c_0_18,plain,
inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) = inverse(add(X1,X1)),
inference(spm,[status(thm)],[c_0_7,c_0_16]) ).
cnf(c_0_19,plain,
inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(X1))))))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_20,plain,
inverse(add(X1,inverse(add(inverse(X1),inverse(X1))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_6,c_0_17]) ).
cnf(c_0_21,plain,
inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_18]) ).
cnf(c_0_22,plain,
inverse(add(inverse(X1),inverse(X1))) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
add(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,plain,
inverse(add(add(inverse(X1),inverse(add(X1,X1))),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_25,plain,
inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_23]) ).
cnf(c_0_26,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_27,plain,
inverse(add(X1,add(X2,X1))) = inverse(add(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_6]),c_0_26]) ).
cnf(c_0_28,plain,
add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2),
inference(spm,[status(thm)],[c_0_26,c_0_10]) ).
cnf(c_0_29,plain,
inverse(add(inverse(add(X1,X2)),inverse(X2))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26]) ).
cnf(c_0_30,plain,
add(inverse(add(X1,X2)),inverse(X2)) = inverse(X2),
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_31,plain,
add(inverse(add(X1,inverse(X2))),X2) = X2,
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_32,plain,
inverse(add(inverse(X1),inverse(add(X2,X1)))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_31]) ).
cnf(c_0_33,plain,
add(inverse(X1),inverse(add(X2,X1))) = inverse(X1),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_34,plain,
add(X1,inverse(add(inverse(X2),inverse(add(X2,X1))))) = add(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_11]),c_0_26]) ).
cnf(c_0_35,plain,
add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3),
inference(spm,[status(thm)],[c_0_26,c_0_6]) ).
cnf(c_0_36,plain,
add(add(X1,X2),X2) = add(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_33]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_37,plain,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X3,X1)))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_34]) ).
cnf(c_0_38,plain,
add(inverse(add(X1,X2)),inverse(add(inverse(add(X1,X3)),X2))) = inverse(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_26]),c_0_26]),c_0_36]) ).
cnf(c_0_39,plain,
add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2),
inference(spm,[status(thm)],[c_0_26,c_0_7]) ).
cnf(c_0_40,plain,
inverse(add(inverse(X1),inverse(add(X1,X2)))) = X1,
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_41,plain,
add(X1,inverse(add(inverse(add(inverse(add(X2,X1)),X3)),inverse(add(inverse(add(X2,X4)),X1))))) = add(inverse(add(X2,X4)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_38]),c_0_26]),c_0_26]) ).
cnf(c_0_42,plain,
add(inverse(add(X1,X2)),inverse(add(inverse(add(X3,X1)),X2))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_39]),c_0_26]) ).
cnf(c_0_43,plain,
add(X1,X2) = add(X2,X1),
inference(rw,[status(thm)],[c_0_34,c_0_40]) ).
cnf(c_0_44,plain,
add(X1,inverse(add(X2,inverse(add(X2,X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_26]),c_0_23]),c_0_43]) ).
cnf(c_0_45,plain,
add(inverse(X1),inverse(add(X1,X2))) = inverse(X1),
inference(spm,[status(thm)],[c_0_26,c_0_40]) ).
cnf(c_0_46,plain,
add(inverse(add(X1,X2)),inverse(add(inverse(add(X2,X3)),X1))) = inverse(X1),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_47,plain,
add(inverse(add(X1,X2)),inverse(add(X1,inverse(X1)))) = inverse(add(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_26]),c_0_43]) ).
cnf(c_0_48,plain,
add(inverse(X1),add(X1,X2)) = add(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_31]),c_0_26]),c_0_26]) ).
cnf(c_0_49,plain,
add(add(X1,X2),inverse(X1)) = add(X1,inverse(X1)),
inference(spm,[status(thm)],[c_0_43,c_0_48]) ).
cnf(c_0_50,plain,
add(add(X1,X2),inverse(add(X1,X2))) = add(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_46]),c_0_26]),c_0_48]),c_0_26]),c_0_43]) ).
cnf(c_0_51,plain,
add(X1,inverse(add(inverse(X1),X2))) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_26]) ).
cnf(c_0_52,plain,
add(X1,inverse(X1)) = add(X2,inverse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_39]),c_0_26]),c_0_43]),c_0_26]),c_0_43]),c_0_50]) ).
cnf(c_0_53,plain,
add(X1,inverse(add(add(inverse(X2),X1),inverse(add(X2,X1))))) = add(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_28]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_54,plain,
add(X1,inverse(add(X1,inverse(add(X2,X1))))) = add(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_55,plain,
add(X1,inverse(add(X2,inverse(X2)))) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X3,add(add(X1,X3),inverse(add(inverse(add(X1,X2)),X3)))))) = inverse(X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_38]),c_0_26]),c_0_26]),c_0_43]) ).
cnf(c_0_57,plain,
add(add(X1,X2),inverse(X2)) = add(X2,inverse(X2)),
inference(spm,[status(thm)],[c_0_49,c_0_54]) ).
cnf(c_0_58,plain,
add(add(X1,inverse(X1)),X2) = add(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_50]) ).
cnf(c_0_59,plain,
inverse(add(inverse(X1),inverse(add(add(X2,X1),X3)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_48]),c_0_55]),c_0_26]),c_0_43]) ).
cnf(c_0_60,plain,
add(inverse(add(X1,inverse(add(X2,X3)))),inverse(add(X3,inverse(add(add(inverse(X1),inverse(add(X2,X3))),inverse(add(X1,inverse(add(X2,X3))))))))) = add(add(inverse(X1),inverse(add(X2,X3))),inverse(add(X1,inverse(add(X2,X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_26]),c_0_43]) ).
cnf(c_0_61,plain,
add(X1,add(X1,X2)) = add(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_26]),c_0_26]),c_0_26]),c_0_43]) ).
cnf(c_0_62,plain,
add(inverse(X1),inverse(add(add(X2,X1),X3))) = inverse(X1),
inference(spm,[status(thm)],[c_0_26,c_0_59]) ).
cnf(c_0_63,plain,
add(inverse(add(X1,X2)),inverse(add(X2,inverse(add(X1,X3))))) = inverse(X2),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_64,plain,
add(X1,inverse(add(X1,X2))) = add(X1,inverse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_45]),c_0_26]),c_0_26]),c_0_26]),c_0_43]),c_0_61]),c_0_44]),c_0_26]),c_0_26]),c_0_43]),c_0_61]) ).
cnf(c_0_65,plain,
add(X1,inverse(add(X2,inverse(add(inverse(add(X3,X2)),X1))))) = add(inverse(add(X3,X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_26]),c_0_26]),c_0_43]) ).
cnf(c_0_66,plain,
add(X1,inverse(add(add(X2,inverse(X1)),X3))) = X1,
inference(spm,[status(thm)],[c_0_62,c_0_26]) ).
cnf(c_0_67,plain,
inverse(add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(inverse(inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4))))))),inverse(add(inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))),X5)))))))) = inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_68,plain,
add(inverse(add(X1,X2)),inverse(add(X1,inverse(add(X2,X3))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_63,c_0_43]) ).
cnf(c_0_69,plain,
add(X1,inverse(add(add(X2,X1),inverse(add(inverse(add(X2,X3)),X1))))) = add(inverse(add(X2,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_70,plain,
add(X1,inverse(add(X2,X1))) = add(X1,inverse(X2)),
inference(spm,[status(thm)],[c_0_64,c_0_43]) ).
cnf(c_0_71,plain,
add(X1,inverse(add(X2,add(X3,inverse(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_43]) ).
cnf(c_0_72,plain,
add(X1,inverse(add(X2,inverse(X1)))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_26]) ).
cnf(c_0_73,plain,
inverse(add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4))))),inverse(add(inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))),X5)))))))) = inverse(add(X2,inverse(add(inverse(X1),inverse(add(X1,X4)))))),
inference(rw,[status(thm)],[c_0_67,c_0_26]) ).
cnf(c_0_74,negated_conjecture,
( add(b,a) != add(a,b)
| add(add(a,b),c) != add(a,add(b,c))
| add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a ),
huntinton ).
cnf(c_0_75,plain,
add(X1,inverse(add(add(X1,X2),inverse(add(X1,inverse(add(X2,X3))))))) = add(X1,inverse(add(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_68]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_76,plain,
add(add(X1,X2),inverse(add(inverse(add(X1,X3)),X2))) = add(X2,add(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_69]),c_0_26]),c_0_62]),c_0_26]),c_0_43]),c_0_70]),c_0_26]) ).
cnf(c_0_77,plain,
add(add(X1,inverse(X2)),inverse(add(X3,X2))) = add(X1,inverse(X2)),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_78,plain,
inverse(add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(X2,X1)))))) = inverse(add(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_40]),c_0_40]),c_0_40]),c_0_51]) ).
cnf(c_0_79,plain,
add(X1,add(add(X2,X1),X3)) = add(add(X2,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_62]),c_0_26]),c_0_26]),c_0_64]),c_0_26]),c_0_26]) ).
cnf(c_0_80,negated_conjecture,
( add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) != a
| add(c,add(a,b)) != add(a,add(b,c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_43]),c_0_43]),c_0_43])]) ).
cnf(c_0_81,plain,
add(inverse(add(X1,X2)),inverse(add(X2,inverse(X1)))) = inverse(X2),
inference(spm,[status(thm)],[c_0_39,c_0_43]) ).
cnf(c_0_82,plain,
add(add(X1,X2),add(X1,X3)) = add(X2,add(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_64]),c_0_26]) ).
cnf(c_0_83,plain,
add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(X2,X1))))) = add(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_78]),c_0_26]) ).
cnf(c_0_84,plain,
add(X1,add(add(X1,X2),X3)) = add(add(X1,X2),X3),
inference(spm,[status(thm)],[c_0_79,c_0_43]) ).
cnf(c_0_85,plain,
add(X1,inverse(add(inverse(add(inverse(X1),X2)),inverse(add(X3,X1))))) = add(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_33]),c_0_26]),c_0_26]) ).
cnf(c_0_86,negated_conjecture,
add(c,add(a,b)) != add(a,add(b,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_26])]) ).
cnf(c_0_87,plain,
add(X1,add(X2,X3)) = add(X3,add(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_82]),c_0_82]) ).
cnf(c_0_88,plain,
add(add(X1,X2),add(X3,X1)) = add(X2,add(X3,X1)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
add(X1,add(X2,add(X1,X3))) = add(X2,add(X1,X3)),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
add(b,add(a,c)) != add(a,add(b,c)),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_91,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_87]),c_0_89]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91]),c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO038-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n021.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 10:46:55 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 22.18/14.77 % Version : CSE_E---1.7
% 22.18/14.77 % Problem : theBenchmark.p
% 22.18/14.77 % SZS status Unsatisfiable for theBenchmark.p
% 22.18/14.77 % SZS output start CNFRefutation
% See solution above
% 22.27/14.85 % Total time : 11.392s
%------------------------------------------------------------------------------