%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:10:52 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.47s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 46 ( 32 unt; 4 nHn; 41 RR)
% Number of literals : 75 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0),
file('theBenchmark.p',p10_1) ).
cnf(p33_5,negated_conjecture,
p33(X95,X95),
file('theBenchmark.p',p33_5) ).
cnf(p34_19,negated_conjecture,
p34(c36,c37),
file('theBenchmark.p',p34_19) ).
cnf(p10_20,negated_conjecture,
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('theBenchmark.p',p10_20) ).
cnf(p34_39,negated_conjecture,
( ~ p10(X100,X99)
| ~ p34(X101,X100)
| ~ p33(X101,X98)
| p34(X98,X99) ),
file('theBenchmark.p',p34_39) ).
cnf(not_p4_40,negated_conjecture,
~ p4(f5(X130,f7(c38,X130)),f5(f9(c39,X130),f7(c38,X130))),
file('theBenchmark.p',not_p4_40) ).
cnf(p4_55,negated_conjecture,
( p35(f12(c37,f14(f16(f18(c40,X106),X107),X108)),X108)
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
file('theBenchmark.p',p4_55) ).
cnf(p4_56,negated_conjecture,
( ~ p4(f5(X106,f14(f16(f18(c40,X106),X107),X108)),f5(X107,f14(f16(f18(c40,X106),X107),X108)))
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
file('theBenchmark.p',p4_56) ).
cnf(p4_57,negated_conjecture,
( ~ p35(f12(X116,X118),f30(f32(c45,X116),X117))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118)) ),
file('theBenchmark.p',p4_57) ).
cnf(p4_58,negated_conjecture,
( ~ p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117)))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119)) ),
file('theBenchmark.p',p4_58) ).
cnf(t1,plain,
~ p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39)))),
inference(start,[status(thm),parent(0:0)],[not_p4_40]) ).
cnf(t2,plain,
( ~ p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39))
| ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))))
| p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39)))) ),
inference(extension,[status(thm),parent(t1:1)],[p4_57]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))
| ~ p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))) ),
inference(extension,[status(thm),parent(t2:2)],[p4_56]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39))))
| ~ p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) ),
inference(extension,[status(thm),parent(t4:2)],[p4_58]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
$false,
inference(reduction,[status(thm),parent(t6:2)],[t6:2,t1:1]) ).
cnf(t9,plain,
p34(c36,c37),
inference(extension,[status(thm),parent(t6:3)],[p34_19]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t6:3]) ).
cnf(t11,plain,
( ~ p33(c36,c36)
| ~ p34(c36,c37)
| ~ p10(c37,c37)
| p34(c36,c37) ),
inference(extension,[status(thm),parent(t2:3)],[p34_39]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t2:3]) ).
cnf(t13,plain,
( ~ p10(c37,c37)
| ~ p10(c37,c37)
| p10(c37,c37) ),
inference(extension,[status(thm),parent(t11:2)],[p10_20]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t11:2]) ).
cnf(t15,plain,
p10(c37,c37),
inference(extension,[status(thm),parent(t13:2)],[p10_1]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t13:2]) ).
cnf(t17,plain,
p10(c37,c37),
inference(extension,[status(thm),parent(t13:3)],[p10_1]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t13:3]) ).
cnf(t19,plain,
( ~ p33(c36,c36)
| ~ p34(c36,c37)
| ~ p10(c37,c37)
| p34(c36,c37) ),
inference(extension,[status(thm),parent(t11:3)],[p34_39]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t11:3]) ).
cnf(t21,plain,
p10(c37,c37),
inference(extension,[status(thm),parent(t19:2)],[p10_1]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t19:2]) ).
cnf(t23,plain,
p34(c36,c37),
inference(extension,[status(thm),parent(t19:3)],[p34_19]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t19:3]) ).
cnf(t25,plain,
p33(c36,c36),
inference(extension,[status(thm),parent(t19:4)],[p33_5]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t19:4]) ).
cnf(t27,plain,
p33(c36,c36),
inference(extension,[status(thm),parent(t11:4)],[p33_5]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t11:4]) ).
cnf(l6,lemma,
p34(c36,c37),
inference(lemma,[status(cth),parent(t2:3),below(t1:1)],[t2:3]) ).
cnf(t29,plain,
( p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))
| p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39)) ),
inference(extension,[status(thm),parent(t2:4)],[p4_55]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t2:4]) ).
cnf(t31,plain,
( ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f9(c39,f26(f28(c46,c37),c39)),f7(c38,f26(f28(c46,c37),c39))))
| ~ p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))) ),
inference(extension,[status(thm),parent(t29:2)],[p4_58]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t29:2]) ).
cnf(t33,plain,
$false,
inference(reduction,[status(thm),parent(t31:2)],[t31:2,t1:1]) ).
cnf(t34,plain,
p34(c36,c37),
inference(lemma_extension,[status(thm),parent(t31:3)],[l6:1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t31:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n018.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 07:09:02 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.14/5.47 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.47 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------