%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN558-1 : 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 : n019.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 05:39:38 PM UTC 2026
% Result : Unsatisfiable 1.37s 1.75s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 40 ( 18 unt; 0 nHn; 31 RR)
% Number of literals : 87 ( 0 equ; 51 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 73 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_11,negated_conjecture,
( p5(X1,X2,X3)
| ~ p5(X1,X2,X4)
| ~ p5(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_11) ).
cnf(p5_6,negated_conjecture,
p5(c7,X1,f3(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_6) ).
cnf(p2_13,negated_conjecture,
( p2(X1,X2)
| ~ p6(c7,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X3,X2)
| ~ p5(c7,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
cnf(p6_3,negated_conjecture,
p6(c7,f3(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
cnf(p5_14,negated_conjecture,
( p5(X1,X2,X3)
| ~ p2(X4,X2)
| ~ p2(X5,X3)
| ~ p4(X6,X1)
| ~ p5(X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_14) ).
cnf(p2_9,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p5_5,negated_conjecture,
p5(c7,c10,c8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_5) ).
cnf(p5_4,negated_conjecture,
p5(c7,c10,c9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_4) ).
cnf(not_p5_8,negated_conjecture,
( ~ p5(c7,c8,X1)
| ~ p5(c7,c9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p5_8) ).
cnf(p4_2,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
cnf(c_0_11,negated_conjecture,
( p5(X1,X2,X3)
| ~ p5(X1,X2,X4)
| ~ p5(X1,X4,X3) ),
p5_11 ).
cnf(c_0_12,negated_conjecture,
p5(c7,X1,f3(X1)),
p5_6 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p6(c7,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X3,X2)
| ~ p5(c7,X3,X1) ),
p2_13 ).
cnf(c_0_14,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p5(c7,X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p6(c7,f3(X1)),
p6_3 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,f3(X2))
| ~ p5(c7,X3,X1)
| ~ p5(c7,X3,X2)
| ~ p6(c7,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_17,negated_conjecture,
( p5(X1,X2,X3)
| ~ p2(X4,X2)
| ~ p2(X5,X3)
| ~ p4(X6,X1)
| ~ p5(X6,X4,X5) ),
p5_14 ).
cnf(c_0_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_9 ).
cnf(c_0_19,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p5(c7,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_15])]) ).
cnf(c_0_20,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p5(c7,X1,X3)
| ~ p5(c7,X3,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( p5(X1,X2,X3)
| ~ p4(c7,X1)
| ~ p2(f3(X4),X3)
| ~ p2(X4,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_22,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_23,negated_conjecture,
( p2(X1,f3(X2))
| ~ p5(c7,X3,X2)
| ~ p2(f3(X3),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
p5(c7,c10,c8),
p5_5 ).
cnf(c_0_25,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p5(c7,f3(X1),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_26,negated_conjecture,
( p5(X1,X2,f3(X3))
| ~ p4(c7,X1)
| ~ p2(X3,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
p5(c7,c10,c9),
p5_4 ).
cnf(c_0_28,negated_conjecture,
( p2(X1,f3(c8))
| ~ p2(f3(c10),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( ~ p5(c7,c8,X1)
| ~ p5(c7,c9,X1) ),
not_p5_8 ).
cnf(c_0_30,negated_conjecture,
p5(c7,X1,f3(f3(f3(X1)))),
inference(spm,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_31,negated_conjecture,
( p5(X1,X2,f3(X3))
| ~ p5(X1,X2,X4)
| ~ p4(c7,X1)
| ~ p2(X3,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
p4(X1,X1),
p4_2 ).
cnf(c_0_33,negated_conjecture,
( p2(X1,f3(c9))
| ~ p2(f3(c10),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
p2(f3(c10),f3(c8)),
inference(spm,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_35,negated_conjecture,
~ p5(c7,c9,f3(f3(f3(c8)))),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p2(X2,f3(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_12]),c_0_32])]) ).
cnf(c_0_37,negated_conjecture,
p2(f3(c8),f3(c9)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
~ p5(c7,c9,f3(f3(c8))),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN558-1 : TPTP v9.2.1. Released v2.5.0.
% 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
% 0.15/0.32 % Computer : n019.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
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:39:29 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.37/1.75 % Version : CSE_E---1.7
% 1.37/1.75 % Problem : theBenchmark.p
% 1.37/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.75 % SZS output start CNFRefutation
% See solution above
% 1.37/1.76 % Total time : 1.371s
%------------------------------------------------------------------------------