%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP396+1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 04:26:01 PM UTC 2026
% Result : Satisfiable 1.26s 1.72s
% Output : Saturation 1.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(associativity,axiom,
! [X1,X2,X3,X4] :
( ( group_member(X2,X1)
& group_member(X3,X1)
& group_member(X4,X1) )
=> multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP007+0.ax',associativity) ).
fof(total_function,axiom,
! [X1,X2,X3] :
( ( group_member(X2,X1)
& group_member(X3,X1) )
=> group_member(multiply(X1,X2,X3),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP007+0.ax',total_function) ).
fof(c_0_2,plain,
! [X15,X16,X17,X18] :
( ~ group_member(X16,X15)
| ~ group_member(X17,X15)
| ~ group_member(X18,X15)
| multiply(X15,multiply(X15,X16,X17),X18) = multiply(X15,X16,multiply(X15,X17,X18)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[associativity])]) ).
fof(c_0_3,plain,
! [X12,X13,X14] :
( ~ group_member(X13,X12)
| ~ group_member(X14,X12)
| group_member(multiply(X12,X13,X14),X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[total_function])]) ).
cnf(c_0_4,plain,
( multiply(X2,multiply(X2,X1,X3),X4) = multiply(X2,X1,multiply(X2,X3,X4))
| ~ group_member(X1,X2)
| ~ group_member(X3,X2)
| ~ group_member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_5,plain,
( group_member(multiply(X2,X1,X3),X2)
| ~ group_member(X1,X2)
| ~ group_member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP396+1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n018.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 18:33:47 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start Saturation
% See solution above
% 1.26/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------