%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN716-1 : 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 : n001.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 05:39:58 PM UTC 2026
% Result : Unsatisfiable 1.30s 1.73s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 11 unt; 0 nHn; 18 RR)
% Number of literals : 47 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 59 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p62_68,negated_conjecture,
( p62(X1,X2)
| ~ p4(X3,X1)
| ~ p62(X3,X4)
| ~ p32(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_68) ).
cnf(p62_100,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_100) ).
cnf(p4_86,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_86) ).
cnf(p3_106,negated_conjecture,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X1),X2),X3)),X4),X5),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_106) ).
cnf(p62_97,negated_conjecture,
( p62(X1,X2)
| ~ p62(f5(c64,f16(f19(f21(c66,X1),X3),X4)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_97) ).
cnf(p2_28,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
cnf(p62_99,negated_conjecture,
( p62(X1,X2)
| ~ p62(f23(f25(f27(f29(f31(c74,X1),X3),X4),X5),X6),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_99) ).
cnf(p32_20,negated_conjecture,
p32(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_20) ).
cnf(not_p62_34,negated_conjecture,
~ p62(c67,c72),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p62_34) ).
cnf(c_0_9,negated_conjecture,
( p62(X1,X2)
| ~ p4(X3,X1)
| ~ p62(X3,X4)
| ~ p32(X4,X2) ),
p62_68 ).
cnf(c_0_10,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
p62_100 ).
cnf(c_0_11,negated_conjecture,
( p62(X1,X2)
| ~ p32(c72,X2)
| ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_86 ).
cnf(c_0_13,negated_conjecture,
( p62(f5(X1,X2),X3)
| ~ p2(c64,X1)
| ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X2)
| ~ p32(c72,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X1),X2),X3)),X4),X5),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
p3_106 ).
cnf(c_0_15,negated_conjecture,
( p62(X1,X2)
| ~ p62(f5(c64,f16(f19(f21(c66,X1),X3),X4)),X2) ),
p62_97 ).
cnf(c_0_16,negated_conjecture,
( p62(f5(X1,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),X2)
| ~ p2(c64,X1)
| ~ p32(c72,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p2(X1,X1),
p2_28 ).
cnf(c_0_18,negated_conjecture,
( p62(X1,X2)
| ~ p62(f23(f25(f27(f29(f31(c74,X1),X3),X4),X5),X6),X2) ),
p62_99 ).
cnf(c_0_19,negated_conjecture,
( p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),X1)
| ~ p32(c72,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_20,negated_conjecture,
( p62(c67,X1)
| ~ p32(c72,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
p32(X1,X1),
p32_20 ).
cnf(c_0_22,negated_conjecture,
~ p62(c67,c72),
not_p62_34 ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN716-1 : 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
% 0.15/0.33 % Computer : n001.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 08:44:33 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.30/1.73 % Version : CSE_E---1.7
% 1.30/1.73 % Problem : theBenchmark.p
% 1.30/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.73 % SZS output start CNFRefutation
% See solution above
% 1.30/1.73 % Total time : 1.373s
%------------------------------------------------------------------------------