%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN631-1 : 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 : n011.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 05:39:47 PM UTC 2026
% Result : Unsatisfiable 22.95s 13.76s
% Output : CNFRefutation 23.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 38 ( 13 unt; 0 nHn; 30 RR)
% Number of literals : 80 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 85 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_25,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_25) ).
cnf(p5_5,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_5) ).
cnf(p23_29,negated_conjecture,
( p23(X1,X2)
| ~ p12(X3,X1)
| ~ p23(X3,X4)
| ~ p10(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_29) ).
cnf(p23_35,negated_conjecture,
( p23(f13(f19(X1,X2,X3),X3),f11(X1))
| ~ p23(f13(X2,X3),f11(f15(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).
cnf(p12_28,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_28) ).
cnf(p12_8,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_8) ).
cnf(p5_11,negated_conjecture,
p5(f16(f18(X1,X2)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_11) ).
cnf(p5_18,negated_conjecture,
( p5(f16(X1),f16(X2))
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_18) ).
cnf(p23_12,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_12) ).
cnf(p12_32,negated_conjecture,
( p12(f13(X1,X2),f13(X3,X4))
| ~ p5(X1,X3)
| ~ p5(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_32) ).
cnf(p5_34,negated_conjecture,
( p5(X1,f18(f20(c29),f19(X2,X1,X3)))
| ~ p23(f13(X1,X3),f11(f15(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_34) ).
cnf(not_p23_13,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_13) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(c_0_13,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
p5_25 ).
cnf(c_0_14,negated_conjecture,
p5(X1,X1),
p5_5 ).
cnf(c_0_15,negated_conjecture,
( p23(X1,X2)
| ~ p12(X3,X1)
| ~ p23(X3,X4)
| ~ p10(X4,X2) ),
p23_29 ).
cnf(c_0_16,negated_conjecture,
( p23(f13(f19(X1,X2,X3),X3),f11(X1))
| ~ p23(f13(X2,X3),f11(f15(X1))) ),
p23_35 ).
cnf(c_0_17,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
p12_28 ).
cnf(c_0_18,negated_conjecture,
p12(X1,X1),
p12_8 ).
cnf(c_0_19,negated_conjecture,
p5(f16(f18(X1,X2)),X2),
p5_11 ).
cnf(c_0_20,negated_conjecture,
( p5(X1,X2)
| ~ p5(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( p5(f16(X1),f16(X2))
| ~ p5(X1,X2) ),
p5_18 ).
cnf(c_0_22,negated_conjecture,
( p23(X1,X2)
| ~ p23(f13(X3,X4),f11(f15(X5)))
| ~ p12(f13(f19(X5,X3,X4),X4),X1)
| ~ p10(f11(X5),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
p23_12 ).
cnf(c_0_24,negated_conjecture,
( p12(X1,X2)
| ~ p12(X2,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( p12(f13(X1,X2),f13(X3,X4))
| ~ p5(X1,X3)
| ~ p5(X2,X4) ),
p12_32 ).
cnf(c_0_26,negated_conjecture,
( p5(X1,X2)
| ~ p5(f16(f18(X3,X2)),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( p5(f16(X1),f16(X2))
| ~ p5(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( p23(X1,X2)
| ~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),X1)
| ~ p10(f11(c24),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( p12(f13(X1,X2),f13(X3,X4))
| ~ p5(X4,X2)
| ~ p5(X3,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( p5(f16(X1),X2)
| ~ p5(X1,f18(X3,X2)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( p5(X1,f18(f20(c29),f19(X2,X1,X3)))
| ~ p23(f13(X1,X3),f11(f15(X2))) ),
p5_34 ).
cnf(c_0_32,negated_conjecture,
( p23(f13(X1,X2),X3)
| ~ p5(X1,f19(c24,c27,f14(c28)))
| ~ p5(X2,f14(c28))
| ~ p10(f11(c24),X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( p5(f16(X1),f19(X2,X1,X3))
| ~ p23(f13(X1,X3),f11(f15(X2))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
not_p23_13 ).
cnf(c_0_35,negated_conjecture,
( p23(f13(f16(c27),X1),X2)
| ~ p5(X1,f14(c28))
| ~ p10(f11(c24),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_23])]) ).
cnf(c_0_36,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_14]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN631-1 : 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
% 0.17/0.33 % Computer : n011.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 08:40:47 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 22.95/13.76 % Version : CSE_E---1.7
% 22.95/13.76 % Problem : theBenchmark.p
% 22.95/13.76 % SZS status Unsatisfiable for theBenchmark.p
% 22.95/13.76 % SZS output start CNFRefutation
% See solution above
% 23.05/13.85 % Total time : 10.382s
%------------------------------------------------------------------------------