%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN563-1 : 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 : n010.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 05:39:39 PM UTC 2026
% Result : Unsatisfiable 3.88s 3.18s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 39 ( 12 unt; 0 nHn; 33 RR)
% Number of literals : 87 ( 0 equ; 50 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 73 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p6_16,negated_conjecture,
( p6(X1,X2)
| ~ p2(X3,X1)
| ~ p6(X3,X4)
| ~ p2(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_16) ).
cnf(p6_2,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_11,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p6_14,negated_conjecture,
( p6(X1,X2)
| ~ p6(X1,X3)
| ~ p6(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
cnf(p5_17,negated_conjecture,
( p5(X1,X2)
| ~ p2(X3,X2)
| ~ p5(X4,X3)
| ~ p2(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_17) ).
cnf(p5_7,negated_conjecture,
p5(f3(f3(X1)),f3(f4(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_7) ).
cnf(p6_9,negated_conjecture,
( p6(c7,f3(X1))
| ~ p6(c7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
cnf(p5_15,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X2)
| ~ p6(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_15) ).
cnf(p2_4,negated_conjecture,
p2(f4(c7),f4(c8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p6_10,negated_conjecture,
( p6(f4(X1),X2)
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_10) ).
cnf(not_p6_5,negated_conjecture,
~ p6(f4(c7),f3(f4(c8))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_5) ).
cnf(c_0_12,negated_conjecture,
( p6(X1,X2)
| ~ p2(X3,X1)
| ~ p6(X3,X4)
| ~ p2(X4,X2) ),
p6_16 ).
cnf(c_0_13,negated_conjecture,
p6(X1,X1),
p6_2 ).
cnf(c_0_14,negated_conjecture,
( p6(X1,X2)
| ~ p2(X3,X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_16,negated_conjecture,
( p6(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
p2_11 ).
cnf(c_0_18,negated_conjecture,
( p6(X1,X2)
| ~ p6(X1,X3)
| ~ p6(X3,X2) ),
p6_14 ).
cnf(c_0_19,negated_conjecture,
( p6(f3(X1),f3(X2))
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( p5(X1,X2)
| ~ p2(X3,X2)
| ~ p5(X4,X3)
| ~ p2(X4,X1) ),
p5_17 ).
cnf(c_0_21,negated_conjecture,
p5(f3(f3(X1)),f3(f4(X1))),
p5_7 ).
cnf(c_0_22,negated_conjecture,
( p6(X1,f3(X2))
| ~ p6(X1,f3(X3))
| ~ p2(X2,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( p6(c7,f3(X1))
| ~ p6(c7,X1) ),
p6_9 ).
cnf(c_0_24,negated_conjecture,
( p5(X1,X2)
| ~ p2(f3(f3(X3)),X1)
| ~ p2(f3(f4(X3)),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p6(c7,f3(X1))
| ~ p6(c7,X2)
| ~ p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( p6(X1,f3(X2))
| ~ p6(X1,c7)
| ~ p6(c7,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X2)
| ~ p6(X1,X3) ),
p5_15 ).
cnf(c_0_28,negated_conjecture,
( p5(f3(f3(X1)),X2)
| ~ p2(f3(f4(X1)),X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_15]) ).
cnf(c_0_29,negated_conjecture,
( p6(c7,f3(X1))
| ~ p6(c7,X2)
| ~ p2(X1,f3(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_13])]) ).
cnf(c_0_30,negated_conjecture,
( p5(X1,X2)
| ~ p6(X1,f3(f3(X3)))
| ~ p2(f3(f4(X3)),X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( p6(c7,f3(f3(X1)))
| ~ p6(c7,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_15]) ).
cnf(c_0_32,negated_conjecture,
( p5(c7,X1)
| ~ p6(c7,X2)
| ~ p2(f3(f4(X2)),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,negated_conjecture,
( p5(c7,f3(X1))
| ~ p6(c7,X2)
| ~ p2(f4(X2),X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_17]) ).
cnf(c_0_34,negated_conjecture,
p2(f4(c7),f4(c8)),
p2_4 ).
cnf(c_0_35,negated_conjecture,
( p6(f4(X1),X2)
| ~ p5(X1,X2) ),
p6_10 ).
cnf(c_0_36,negated_conjecture,
p5(c7,f3(f4(c8))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_13])]) ).
cnf(c_0_37,negated_conjecture,
~ p6(f4(c7),f3(f4(c8))),
not_p6_5 ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN563-1 : 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
% 0.15/0.33 % Computer : n010.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 : Tue May 5 08:39:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.88/3.18 % Version : CSE_E---1.7
% 3.88/3.18 % Problem : theBenchmark.p
% 3.88/3.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.88/3.18 % SZS output start CNFRefutation
% See solution above
% 3.88/3.19 % Total time : 2.369s
%------------------------------------------------------------------------------