%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN039-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n003.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 05:35:52 PM UTC 2026
% Result : Unsatisfiable 8.38s 5.68s
% Output : CNFRefutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 11
% Syntax : Number of clauses : 51 ( 3 unt; 26 nHn; 16 RR)
% Number of literals : 151 ( 0 equ; 62 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 234 ( 113 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_16,negated_conjecture,
( ~ p(X1,X1)
| ~ q(X2,X2)
| ~ q(X3,f1(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).
cnf(c_5,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| s(f1(X1,X2),X3)
| q(f1(X1,X2),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).
cnf(c_7,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ q(X3,X3)
| ~ q(X2,f1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_7) ).
cnf(c_14,negated_conjecture,
( s(f1(X1,X2),X3)
| q(f1(X1,X2),X4)
| ~ p(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).
cnf(c_9,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ q(X3,X3)
| ~ s(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_9) ).
cnf(c_18,negated_conjecture,
( ~ p(X1,X1)
| ~ q(X2,X2)
| ~ s(X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_18) ).
cnf(c_26,negated_conjecture,
( s(X1,X2)
| q(f1(X2,X4),X3)
| ~ q(X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_26) ).
cnf(c_13,negated_conjecture,
( s(f1(X1,X2),X3)
| ~ p(X1,X1)
| ~ q(X2,f1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_13) ).
cnf(c_12,negated_conjecture,
( ~ p(X1,X1)
| ~ s(X1,f1(X1,X2))
| ~ s(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).
cnf(c_21,negated_conjecture,
( s(X1,X2)
| ~ s(X2,f1(X2,X3))
| ~ s(X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_21) ).
cnf(c_3,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ s(X1,f1(X1,X2))
| ~ s(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_3) ).
cnf(c_0_11,negated_conjecture,
( ~ p(X1,X1)
| ~ q(X2,X2)
| ~ q(X3,f1(X1,X3)) ),
c_16 ).
cnf(c_0_12,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| s(f1(X1,X2),X3)
| q(f1(X1,X2),X4) ),
c_5 ).
cnf(c_0_13,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ q(X3,X3)
| ~ q(X2,f1(X1,X2)) ),
c_7 ).
cnf(c_0_14,negated_conjecture,
( s(f1(X1,X2),X3)
| p(f1(X1,X2),f1(X1,X2))
| ~ q(X4,X4)
| ~ p(X5,X5) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( s(f1(X1,X2),X3)
| q(f1(X1,X2),X4)
| ~ p(X1,X1) ),
c_14 ).
cnf(c_0_16,negated_conjecture,
( s(f1(X1,X2),X3)
| p(f1(X1,X2),f1(X1,X2))
| ~ q(X4,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| q(f1(X1,X2),X5)
| s(f1(f1(X1,X2),X3),X6)
| s(f1(X1,X2),X7) ),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ q(X3,X3)
| ~ s(X2,X2) ),
c_9 ).
cnf(c_0_19,negated_conjecture,
( ~ p(X1,X1)
| ~ q(X2,X2)
| ~ s(X3,X3) ),
c_18 ).
cnf(c_0_20,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| s(f1(f1(X1,X2),X3),X5)
| s(f1(X1,X2),X6)
| s(f1(X7,X8),X9)
| p(f1(X7,X8),f1(X7,X8)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ q(X1,X1)
| ~ s(X2,X2) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| s(f1(f1(X1,X2),X3),X5)
| s(f1(X1,X2),X6) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_20]),c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(X1,X2),X5)
| ~ s(X6,X6) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| s(f1(f1(X5,X6),X7),X8)
| s(f1(X1,X2),X9)
| s(f1(X5,X6),X10) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( s(X1,X2)
| q(f1(X2,X4),X3)
| ~ q(X3,X3) ),
c_26 ).
cnf(c_0_26,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| s(f1(f1(X1,X2),X5),X6)
| s(f1(X1,X2),X7) ),
inference(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(X1,X2),X5)
| s(f1(X6,X7),X8)
| p(f1(X6,X7),f1(X6,X7)) ),
inference(spm,[status(thm)],[c_0_16,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( s(f1(X1,X2),X3)
| ~ p(X1,X1)
| ~ q(X2,f1(X1,X2)) ),
c_13 ).
cnf(c_0_29,negated_conjecture,
( q(f1(X1,X2),f1(f1(X3,X4),X5))
| s(f1(f1(X3,X4),X6),X7)
| s(f1(X3,X4),X8)
| s(X9,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(X1,X2),X5)
| p(f1(X1,X2),f1(X1,X2)) ),
inference(ef,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( s(f1(f1(X1,X2),f1(X3,X4)),X5)
| s(f1(f1(X1,X2),X6),X7)
| s(f1(X1,X2),X8)
| s(X9,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_32,negated_conjecture,
( s(f1(f1(X1,X2),f1(X3,X4)),X5)
| s(f1(X1,X2),X6)
| s(X7,X3) ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_33,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(X5,X6),X7)
| s(f1(X1,X2),X8)
| s(X9,X10) ),
inference(spm,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(X1,X2),X5)
| s(X6,X7) ),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( ~ p(X1,X1)
| ~ s(X1,f1(X1,X2))
| ~ s(X2,X2) ),
c_12 ).
cnf(c_0_36,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(X1,X2),X5) ),
inference(ef,[status(thm)],[c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( s(X1,X2)
| ~ s(X2,f1(X2,X3))
| ~ s(X3,X3) ),
c_21 ).
cnf(c_0_38,negated_conjecture,
( s(f1(X1,X2),X3)
| ~ s(X4,X4)
| ~ p(f1(f1(X1,X2),X5),f1(f1(X1,X2),X5)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ s(X1,f1(X1,X2))
| ~ s(X2,X2) ),
c_3 ).
cnf(c_0_40,negated_conjecture,
( s(X1,f1(f1(X2,X3),X4))
| s(f1(X2,X3),X5)
| ~ s(X6,X6) ),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( s(f1(X1,X2),X3)
| ~ s(X4,X4)
| ~ s(X5,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( s(f1(X1,X2),X3)
| s(f1(X4,X5),X6)
| ~ s(X7,X7) ),
inference(spm,[status(thm)],[c_0_41,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( s(f1(X1,X2),X3)
| s(f1(X4,X5),X6)
| s(f1(X7,X8),X9) ),
inference(spm,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_44,negated_conjecture,
( s(f1(X1,X2),X3)
| s(f1(X4,X5),X6) ),
inference(ef,[status(thm)],[c_0_43]) ).
cnf(c_0_45,negated_conjecture,
s(f1(X1,X2),X3),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_46,negated_conjecture,
( ~ s(X1,X1)
| ~ p(f1(X2,X3),f1(X2,X3)) ),
inference(spm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_47,negated_conjecture,
( ~ s(X1,f1(X1,X2))
| ~ s(X3,X3)
| ~ s(X2,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( ~ s(X1,X1)
| ~ s(X2,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
~ s(X1,X1),
inference(spm,[status(thm)],[c_0_48,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_49,c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN039-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n003.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:05:26 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 8.38/5.68 % Version : CSE_E---1.7
% 8.38/5.68 % Problem : theBenchmark.p
% 8.38/5.68 % SZS status Unsatisfiable for theBenchmark.p
% 8.38/5.68 % SZS output start CNFRefutation
% See solution above
% 8.48/5.70 % Total time : 4.374s
%------------------------------------------------------------------------------