%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS005-1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n029.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 04:36:08 PM UTC 2026
% Result : Satisfiable 1.21s 1.71s
% Output : Saturation 1.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_7,axiom,
( e(X1)
| equalish(X2,X3)
| ~ r(X1,X2)
| ~ r(X1,X3)
| ~ r(X1,X4)
| ~ equalish(u0r1(X4,X1),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_2,axiom,
( equalish(X1,u0r4(X2))
| ~ e(X2)
| ~ r(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_8,axiom,
( e(X1)
| equalish(X2,X3)
| r(X1,u0r1(X4,X1))
| ~ r(X1,X2)
| ~ r(X1,X3)
| ~ r(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_5,axiom,
( r(X1,u0r2(X1))
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_6,axiom,
( r(X1,u0r3(X1))
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_3,axiom,
( r(X1,u0r4(X1))
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,axiom,
( ~ e(X1)
| ~ equalish(u0r3(X1),u0r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(c_0_8,axiom,
( e(X1)
| equalish(X2,X3)
| ~ r(X1,X2)
| ~ r(X1,X3)
| ~ r(X1,X4)
| ~ equalish(u0r1(X4,X1),X4) ),
clause_7,
[final] ).
cnf(c_0_9,axiom,
( equalish(X1,u0r4(X2))
| ~ e(X2)
| ~ r(X2,X1) ),
clause_2,
[final] ).
cnf(c_0_10,axiom,
( e(X1)
| equalish(X2,X3)
| r(X1,u0r1(X4,X1))
| ~ r(X1,X2)
| ~ r(X1,X3)
| ~ r(X1,X4) ),
clause_8,
[final] ).
cnf(c_0_11,plain,
( equalish(X1,X2)
| e(X3)
| ~ r(X4,u0r1(u0r4(X4),X3))
| ~ r(X3,u0r4(X4))
| ~ r(X3,X2)
| ~ r(X3,X1)
| ~ e(X4) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]),
[final] ).
cnf(c_0_12,axiom,
( r(X1,u0r2(X1))
| ~ e(X1) ),
clause_5,
[final] ).
cnf(c_0_13,axiom,
( r(X1,u0r3(X1))
| ~ e(X1) ),
clause_6,
[final] ).
cnf(c_0_14,axiom,
( r(X1,u0r4(X1))
| ~ e(X1) ),
clause_3,
[final] ).
cnf(c_0_15,axiom,
( ~ e(X1)
| ~ equalish(u0r3(X1),u0r2(X1)) ),
clause_4,
[final] ).
cnf(c_0_16,negated_conjecture,
e(exist),
clause_1,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS005-1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11 % 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
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon May 4 20:34:14 EDT 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % start to proof: theBenchmark
% 1.21/1.71 % Version : CSE_E---1.7
% 1.21/1.71 % Problem : theBenchmark.p
% 1.21/1.71 % SZS status Satisfiable for theBenchmark.p
% 1.21/1.71 % SZS output start Saturation
% See solution above
% 1.21/1.71 % Total time : 1.372s
%------------------------------------------------------------------------------