%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN702-1 : 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 : n023.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 05:39:56 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 13 unt; 0 nHn; 19 RR)
% Number of literals : 56 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 10 con; 0-2 aty)
% Number of variables : 63 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p47_52,negated_conjecture,
( p47(X1,X2)
| ~ p47(X3,X4)
| ~ p7(X4,X2)
| ~ p4(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_52) ).
cnf(p47_76,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_76) ).
cnf(p4_8,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
cnf(p4_57,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
cnf(p3_79,negated_conjecture,
p3(f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4),f13(f16(f18(c50,f20(f22(f24(f26(c55,X1),X2),X3),X4)),f30(f32(f34(f36(c56,X1),X2),X3),X4)),f40(f42(f44(f46(c57,X1),X2),X3),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_79) ).
cnf(p2_20,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
cnf(p47_73,negated_conjecture,
( p47(X1,X2)
| ~ p47(f5(c48,f13(f16(f18(c50,X1),X3),X4)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_73) ).
cnf(not_p47_51,negated_conjecture,
~ p47(f20(f22(f24(f26(c55,X1),X2),X3),X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_51) ).
cnf(c_0_9,negated_conjecture,
( p47(X1,X2)
| ~ p47(X3,X4)
| ~ p7(X4,X2)
| ~ p4(X3,X1) ),
p47_52 ).
cnf(c_0_10,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54),
p47_76 ).
cnf(c_0_11,negated_conjecture,
( p47(X1,X2)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X1)
| ~ p7(c54,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
p4(X1,X1),
p4_8 ).
cnf(c_0_13,negated_conjecture,
( p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X1)
| ~ p7(c54,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p47(X1,X2)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X1)
| ~ p7(c54,X3)
| ~ p7(X3,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_57 ).
cnf(c_0_16,negated_conjecture,
( p47(f5(X1,X2),X3)
| ~ p2(c48,X1)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),X2)
| ~ p7(c54,X4)
| ~ p7(X4,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
p3(f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4),f13(f16(f18(c50,f20(f22(f24(f26(c55,X1),X2),X3),X4)),f30(f32(f34(f36(c56,X1),X2),X3),X4)),f40(f42(f44(f46(c57,X1),X2),X3),X4))),
p3_79 ).
cnf(c_0_18,negated_conjecture,
( p47(f5(X1,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),X2)
| ~ p2(c48,X1)
| ~ p7(c54,X3)
| ~ p7(X3,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
p2(X1,X1),
p2_20 ).
cnf(c_0_20,negated_conjecture,
( p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),X1)
| ~ p7(c54,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_22,negated_conjecture,
( p47(X1,X2)
| ~ p47(f5(c48,f13(f16(f18(c50,X1),X3),X4)),X2) ),
p47_73 ).
cnf(c_0_23,negated_conjecture,
( p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),X1)
| ~ p7(c54,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
~ p47(f20(f22(f24(f26(c55,X1),X2),X3),X4),X4),
not_p47_51 ).
cnf(c_0_25,negated_conjecture,
( p47(f20(f22(f24(f26(c55,c51),c52),c53),c54),X1)
| ~ p7(c54,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN702-1 : 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
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:43:53 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------