%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN623-1 : 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 : n001.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 09:10:44 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of clauses : 82 ( 62 unt; 2 nHn; 79 RR)
% Number of literals : 130 ( 0 equ; 48 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_2,negated_conjecture,
p8(X58,X58),
file('theBenchmark.p',p8_2) ).
cnf(p3_5,negated_conjecture,
p3(X37,X37),
file('theBenchmark.p',p3_5) ).
cnf(p2_6,negated_conjecture,
p2(X30,X30),
file('theBenchmark.p',p2_6) ).
cnf(p18_10,negated_conjecture,
p18(c26,c25),
file('theBenchmark.p',p18_10) ).
cnf(p3_11,negated_conjecture,
p3(c22,c23),
file('theBenchmark.p',p3_11) ).
cnf(p2_12,negated_conjecture,
p2(c24,c25),
file('theBenchmark.p',p2_12) ).
cnf(not_p16_13,negated_conjecture,
~ p16(c22,c21),
file('theBenchmark.p',not_p16_13) ).
cnf(p3_14,negated_conjecture,
p3(c23,f4(c24,c20)),
file('theBenchmark.p',p3_14) ).
cnf(p16_15,negated_conjecture,
p16(f4(c19,c20),c21),
file('theBenchmark.p',p16_15) ).
cnf(p3_20,negated_conjecture,
( ~ p3(X37,X39)
| ~ p3(X37,X38)
| p3(X38,X39) ),
file('theBenchmark.p',p3_20) ).
cnf(p2_21,negated_conjecture,
( ~ p2(X30,X32)
| ~ p2(X30,X31)
| p2(X31,X32) ),
file('theBenchmark.p',p2_21) ).
cnf(p16_25,negated_conjecture,
( ~ p16(f4(f6(c27,c25),X21),X22)
| p16(f4(c25,X21),X22) ),
file('theBenchmark.p',p16_25) ).
cnf(p16_26,negated_conjecture,
( ~ p16(X15,X16)
| ~ p8(X16,X14)
| ~ p3(X15,X13)
| p16(X13,X14) ),
file('theBenchmark.p',p16_26) ).
cnf(p3_32,negated_conjecture,
( ~ p3(X45,X47)
| ~ p2(X44,X46)
| p3(f4(X44,X45),f4(X46,X47)) ),
file('theBenchmark.p',p3_32) ).
cnf(p16_34,negated_conjecture,
( ~ p16(f4(X20,f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))
| ~ p16(f4(c19,X18),X19)
| ~ p18(c26,X20)
| ~ p2(X17,X20)
| p16(f4(X17,X18),X19) ),
file('theBenchmark.p',p16_34) ).
cnf(p16_35,negated_conjecture,
( ~ p16(f4(c19,X18),X19)
| ~ p18(c26,X20)
| ~ p2(X17,X20)
| p16(f4(f6(c27,X20),f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))
| p16(f4(X17,X18),X19) ),
file('theBenchmark.p',p16_35) ).
cnf(t1,plain,
~ p16(c22,c21),
inference(start,[status(thm),parent(0:0)],[not_p16_13]) ).
cnf(t2,plain,
( ~ p3(f4(c25,c20),c22)
| ~ p8(c21,c21)
| ~ p16(f4(c25,c20),c21)
| p16(c22,c21) ),
inference(extension,[status(thm),parent(t1:1)],[p16_26]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( p16(f4(f6(c27,c25),f13(f15(c28,c25),c25)),f9(f11(c29,c25),c25))
| ~ p2(c25,c25)
| ~ p18(c26,c25)
| ~ p16(f4(c19,c20),c21)
| p16(f4(c25,c20),c21) ),
inference(extension,[status(thm),parent(t2:2)],[p16_35]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
p16(f4(c19,c20),c21),
inference(extension,[status(thm),parent(t4:2)],[p16_15]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(l3,lemma,
p16(f4(c19,c20),c21),
inference(lemma,[status(cth),parent(t4:2),below(t2:2)],[t4:2]) ).
cnf(t8,plain,
p18(c26,c25),
inference(extension,[status(thm),parent(t4:3)],[p18_10]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(l4,lemma,
p18(c26,c25),
inference(lemma,[status(cth),parent(t4:3),below(t2:2)],[t4:3]) ).
cnf(t10,plain,
( ~ p2(c25,c25)
| ~ p2(c25,c25)
| p2(c25,c25) ),
inference(extension,[status(thm),parent(t4:4)],[p2_21]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:4]) ).
cnf(t12,plain,
( ~ p2(c24,c25)
| ~ p2(c24,c25)
| p2(c25,c25) ),
inference(extension,[status(thm),parent(t10:2)],[p2_21]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p2(c24,c25),
inference(extension,[status(thm),parent(t12:2)],[p2_12]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p2(c24,c25),
inference(extension,[status(thm),parent(t12:3)],[p2_12]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
( ~ p2(c24,c25)
| ~ p2(c24,c25)
| p2(c25,c25) ),
inference(extension,[status(thm),parent(t10:3)],[p2_21]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:3]) ).
cnf(t20,plain,
p2(c24,c25),
inference(extension,[status(thm),parent(t18:2)],[p2_12]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(l10,lemma,
p2(c24,c25),
inference(lemma,[status(cth),parent(t18:2),below(t10:3)],[t18:2]) ).
cnf(t22,plain,
p2(c24,c25),
inference(lemma_extension,[status(thm),parent(t18:3)],[l10:1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(l5,lemma,
p2(c25,c25),
inference(lemma,[status(cth),parent(t4:4),below(t2:2)],[t4:4]) ).
cnf(t24,plain,
( p16(f4(c25,f13(f15(c28,c25),c25)),f9(f11(c29,c25),c25))
| ~ p16(f4(f6(c27,c25),f13(f15(c28,c25),c25)),f9(f11(c29,c25),c25)) ),
inference(extension,[status(thm),parent(t4:5)],[p16_25]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t4:5]) ).
cnf(t26,plain,
( ~ p2(c25,c25)
| ~ p18(c26,c25)
| ~ p16(f4(c19,c20),c21)
| p16(f4(c25,c20),c21)
| ~ p16(f4(c25,f13(f15(c28,c25),c25)),f9(f11(c29,c25),c25)) ),
inference(extension,[status(thm),parent(t24:2)],[p16_34]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
$false,
inference(reduction,[status(thm),parent(t26:2)],[t26:2,t2:2]) ).
cnf(t29,plain,
p16(f4(c19,c20),c21),
inference(lemma_extension,[status(thm),parent(t26:3)],[l3:1]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t26:3]) ).
cnf(t31,plain,
p18(c26,c25),
inference(lemma_extension,[status(thm),parent(t26:4)],[l4:1]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t26:4]) ).
cnf(t33,plain,
p2(c25,c25),
inference(lemma_extension,[status(thm),parent(t26:5)],[l5:1]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t26:5]) ).
cnf(t35,plain,
p8(c21,c21),
inference(extension,[status(thm),parent(t2:3)],[p8_2]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t2:3]) ).
cnf(t37,plain,
( ~ p3(f4(c24,c20),f4(c25,c20))
| ~ p3(f4(c24,c20),c22)
| p3(f4(c25,c20),c22) ),
inference(extension,[status(thm),parent(t2:4)],[p3_20]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t2:4]) ).
cnf(t39,plain,
( ~ p3(c23,f4(c24,c20))
| ~ p3(c23,c22)
| p3(f4(c24,c20),c22) ),
inference(extension,[status(thm),parent(t37:2)],[p3_20]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).
cnf(t41,plain,
( ~ p3(c22,c23)
| ~ p3(c22,c22)
| p3(c23,c22) ),
inference(extension,[status(thm),parent(t39:2)],[p3_20]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t39:2]) ).
cnf(t43,plain,
p3(c22,c22),
inference(extension,[status(thm),parent(t41:2)],[p3_5]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t41:2]) ).
cnf(t45,plain,
p3(c22,c23),
inference(extension,[status(thm),parent(t41:3)],[p3_11]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t41:3]) ).
cnf(t47,plain,
( ~ p3(c23,c23)
| ~ p3(c23,f4(c24,c20))
| p3(c23,f4(c24,c20)) ),
inference(extension,[status(thm),parent(t39:3)],[p3_20]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t39:3]) ).
cnf(t49,plain,
p3(c23,f4(c24,c20)),
inference(extension,[status(thm),parent(t47:2)],[p3_14]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t47:2]) ).
cnf(t51,plain,
p3(c23,c23),
inference(extension,[status(thm),parent(t47:3)],[p3_5]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t47:3]) ).
cnf(t53,plain,
( ~ p2(c24,c25)
| ~ p3(c20,c20)
| p3(f4(c24,c20),f4(c25,c20)) ),
inference(extension,[status(thm),parent(t37:3)],[p3_32]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t37:3]) ).
cnf(t55,plain,
p3(c20,c20),
inference(extension,[status(thm),parent(t53:2)],[p3_5]) ).
cnf(t56,plain,
$false,
inference(connection,[status(thm),parent(t55:1)],[t55:1,t53:2]) ).
cnf(t57,plain,
( ~ p2(c24,c24)
| ~ p2(c24,c25)
| p2(c24,c25) ),
inference(extension,[status(thm),parent(t53:3)],[p2_21]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t53:3]) ).
cnf(t59,plain,
p2(c24,c25),
inference(extension,[status(thm),parent(t57:2)],[p2_12]) ).
cnf(t60,plain,
$false,
inference(connection,[status(thm),parent(t59:1)],[t59:1,t57:2]) ).
cnf(t61,plain,
p2(c24,c24),
inference(extension,[status(thm),parent(t57:3)],[p2_6]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t57:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 07:11:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------