%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS014-1 : 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 : n013.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 04:36:09 PM UTC 2026
% Result : Satisfiable 1.25s 1.72s
% Output : Saturation 1.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_2,axiom,
( s(X1,X2)
| ~ e(X1)
| ~ r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_9,axiom,
( r(X1,u1r2(X1))
| ~ r1exact(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_5,axiom,
( r1exact(X1)
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_12,axiom,
( equalish(X1,u2r3(X2))
| equalish(X1,u2r2(X2))
| ~ s2exact(X2)
| ~ s(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_4,axiom,
( s2exact(X1)
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_14,axiom,
( s(X1,u2r2(X1))
| ~ s2exact(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_1,negated_conjecture,
e(exists),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_3,axiom,
( r(X1,X2)
| ~ e(X1)
| ~ s(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_15,axiom,
( s(X1,u2r3(X1))
| ~ s2exact(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_17,axiom,
( s2exact(X1)
| equalish(X2,X3)
| ~ s(X1,X2)
| ~ s(X1,X3)
| ~ equalish(u2r1(X2,X3,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_8,axiom,
( equalish(X1,u1r2(X2))
| ~ r1exact(X2)
| ~ r(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_16,axiom,
( s2exact(X1)
| equalish(X2,X3)
| ~ s(X1,X2)
| ~ s(X1,X3)
| ~ equalish(u2r1(X2,X3,X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_13,axiom,
( ~ s2exact(X1)
| ~ equalish(u2r3(X1),u2r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
cnf(clause_10,axiom,
( r1exact(X1)
| ~ r(X1,X2)
| ~ equalish(u1r1(X2,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_18,axiom,
( s2exact(X1)
| equalish(X2,X3)
| s(X1,u2r1(X2,X3,X1))
| ~ s(X1,X2)
| ~ s(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
cnf(clause_6,axiom,
( e(X1)
| s(X1,u0r1(X1))
| r(X1,u0r1(X1))
| ~ r1exact(X1)
| ~ s2exact(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_11,axiom,
( r1exact(X1)
| r(X1,u1r1(X2,X1))
| ~ r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_7,axiom,
( e(X1)
| ~ r1exact(X1)
| ~ s2exact(X1)
| ~ r(X1,u0r1(X1))
| ~ s(X1,u0r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(c_0_18,axiom,
( s(X1,X2)
| ~ e(X1)
| ~ r(X1,X2) ),
clause_2,
[final] ).
cnf(c_0_19,axiom,
( r(X1,u1r2(X1))
| ~ r1exact(X1) ),
clause_9,
[final] ).
cnf(c_0_20,axiom,
( r1exact(X1)
| ~ e(X1) ),
clause_5,
[final] ).
cnf(c_0_21,axiom,
( equalish(X1,u2r3(X2))
| equalish(X1,u2r2(X2))
| ~ s2exact(X2)
| ~ s(X2,X1) ),
clause_12,
[final] ).
cnf(c_0_22,plain,
( s(X1,u1r2(X1))
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[final] ).
cnf(c_0_23,axiom,
( s2exact(X1)
| ~ e(X1) ),
clause_4,
[final] ).
cnf(c_0_24,axiom,
( s(X1,u2r2(X1))
| ~ s2exact(X1) ),
clause_14,
[final] ).
cnf(c_0_25,negated_conjecture,
e(exists),
clause_1,
[final] ).
cnf(c_0_26,axiom,
( r(X1,X2)
| ~ e(X1)
| ~ s(X1,X2) ),
clause_3,
[final] ).
cnf(c_0_27,axiom,
( s(X1,u2r3(X1))
| ~ s2exact(X1) ),
clause_15,
[final] ).
cnf(c_0_28,axiom,
( s2exact(X1)
| equalish(X2,X3)
| ~ s(X1,X2)
| ~ s(X1,X3)
| ~ equalish(u2r1(X2,X3,X1),X2) ),
clause_17,
[final] ).
cnf(c_0_29,axiom,
( equalish(X1,u1r2(X2))
| ~ r1exact(X2)
| ~ r(X2,X1) ),
clause_8,
[final] ).
cnf(c_0_30,axiom,
( s2exact(X1)
| equalish(X2,X3)
| ~ s(X1,X2)
| ~ s(X1,X3)
| ~ equalish(u2r1(X2,X3,X1),X3) ),
clause_16,
[final] ).
cnf(c_0_31,plain,
( equalish(u1r2(X1),u2r2(X1))
| equalish(u1r2(X1),u2r3(X1))
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
[final] ).
cnf(c_0_32,plain,
( equalish(u2r2(X1),u2r2(X1))
| equalish(u2r2(X1),u2r3(X1))
| ~ s2exact(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_24]),
[final] ).
cnf(c_0_33,negated_conjecture,
s2exact(exists),
inference(spm,[status(thm)],[c_0_23,c_0_25]),
[final] ).
cnf(c_0_34,axiom,
( ~ s2exact(X1)
| ~ equalish(u2r3(X1),u2r2(X1)) ),
clause_13,
[final] ).
cnf(c_0_35,axiom,
( r1exact(X1)
| ~ r(X1,X2)
| ~ equalish(u1r1(X2,X1),X2) ),
clause_10,
[final] ).
cnf(c_0_36,plain,
( r(X1,u2r3(X1))
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_23]),
[final] ).
cnf(c_0_37,plain,
( r(X1,u2r2(X1))
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_23]),
[final] ).
cnf(c_0_38,plain,
( equalish(u1r2(X1),X2)
| s2exact(X3)
| ~ r1exact(X1)
| ~ r(X1,u2r1(u1r2(X1),X2,X3))
| ~ s(X3,u1r2(X1))
| ~ s(X3,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]),
[final] ).
cnf(c_0_39,plain,
( equalish(X1,u1r2(X2))
| s2exact(X3)
| ~ r1exact(X2)
| ~ r(X2,u2r1(X1,u1r2(X2),X3))
| ~ s(X3,u1r2(X2))
| ~ s(X3,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_29]),
[final] ).
cnf(c_0_40,negated_conjecture,
( equalish(u1r2(exists),u2r3(exists))
| equalish(u1r2(exists),u2r2(exists)) ),
inference(spm,[status(thm)],[c_0_31,c_0_25]),
[final] ).
cnf(c_0_41,negated_conjecture,
( equalish(u2r2(exists),u2r3(exists))
| equalish(u2r2(exists),u2r2(exists)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]),
[final] ).
cnf(c_0_42,plain,
( equalish(u2r3(X1),u2r3(X1))
| ~ s2exact(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_27]),c_0_34]),
[final] ).
cnf(c_0_43,plain,
( r1exact(X1)
| ~ r1exact(X2)
| ~ r(X2,u1r1(u1r2(X2),X1))
| ~ r(X1,u1r2(X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_29]),
[final] ).
cnf(c_0_44,plain,
( s(X1,u2r3(X1))
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_36]),
[final] ).
cnf(c_0_45,axiom,
( s2exact(X1)
| equalish(X2,X3)
| s(X1,u2r1(X2,X3,X1))
| ~ s(X1,X2)
| ~ s(X1,X3) ),
clause_18,
[final] ).
cnf(c_0_46,axiom,
( e(X1)
| s(X1,u0r1(X1))
| r(X1,u0r1(X1))
| ~ r1exact(X1)
| ~ s2exact(X1) ),
clause_6,
[final] ).
cnf(c_0_47,plain,
( s(X1,u2r2(X1))
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_37]),
[final] ).
cnf(c_0_48,plain,
( r(X1,u1r2(X1))
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_22]),
[final] ).
cnf(c_0_49,axiom,
( r1exact(X1)
| r(X1,u1r1(X2,X1))
| ~ r(X1,X2) ),
clause_11,
[final] ).
cnf(c_0_50,axiom,
( e(X1)
| ~ r1exact(X1)
| ~ s2exact(X1)
| ~ r(X1,u0r1(X1))
| ~ s(X1,u0r1(X1)) ),
clause_7,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS014-1 : TPTP v9.2.1. Released v2.0.0.
% 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
% 0.15/0.33 % Computer : n013.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:34:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start Saturation
% See solution above
% 1.25/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------