%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN620-1 : 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 : n003.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 09:10:43 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 65 ( 47 unt; 0 nHn; 61 RR)
% Number of literals : 98 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0),
file('theBenchmark.p',p10_1) ).
cnf(p11_5,negated_conjecture,
p11(X20,X20),
file('theBenchmark.p',p11_5) ).
cnf(p11_18,negated_conjecture,
( ~ p10(X23,X24)
| p11(f12(X23),f12(X24)) ),
file('theBenchmark.p',p11_18) ).
cnf(p11_23,negated_conjecture,
( ~ p11(X20,X22)
| ~ p11(X20,X21)
| p11(X21,X22) ),
file('theBenchmark.p',p11_23) ).
cnf(p10_24,negated_conjecture,
p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))),
file('theBenchmark.p',p10_24) ).
cnf(p20_28,negated_conjecture,
( ~ p11(X38,X36)
| ~ p20(X38,X39)
| ~ p11(X39,X37)
| p20(X36,X37) ),
file('theBenchmark.p',p20_28) ).
cnf(p20_32,negated_conjecture,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X40))),
file('theBenchmark.p',p20_32) ).
cnf(not_p20_33,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file('theBenchmark.p',not_p20_33) ).
cnf(t1,plain,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(start,[status(thm),parent(0:0)],[not_p20_33]) ).
cnf(t2,plain,
( ~ p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c22),c27)))
| ~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),f16(c26,c27))))
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))) ),
inference(extension,[status(thm),parent(t1:1)],[p20_28]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p11(f12(f13(f6(c24),f16(c26,f14(f15(f7(c25)))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| ~ p11(f12(f13(f6(c24),f16(c26,f14(f15(f7(c25)))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(extension,[status(thm),parent(t2:2)],[p11_23]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),f16(c26,f14(f15(f7(c25)))))))
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| p11(f12(f13(f6(c24),f16(c26,f14(f15(f7(c25)))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(extension,[status(thm),parent(t4:2)],[p11_23]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(extension,[status(thm),parent(t6:2)],[p11_23]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))),
inference(extension,[status(thm),parent(t8:2)],[p11_5]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))),
inference(extension,[status(thm),parent(t8:3)],[p11_5]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
( ~ p10(f13(f6(c22),f14(f15(f7(c25)))),f13(f6(c24),f16(c26,f14(f15(f7(c25))))))
| p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),f16(c26,f14(f15(f7(c25))))))) ),
inference(extension,[status(thm),parent(t6:3)],[p11_18]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:3]) ).
cnf(t16,plain,
p10(f13(f6(c22),f14(f15(f7(c25)))),f13(f6(c24),f16(c26,f14(f15(f7(c25)))))),
inference(extension,[status(thm),parent(t14:2)],[p10_24]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),f16(c26,f14(f15(f7(c25)))))))
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| p11(f12(f13(f6(c24),f16(c26,f14(f15(f7(c25)))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(extension,[status(thm),parent(t4:3)],[p11_23]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t4:3]) ).
cnf(t20,plain,
( ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(extension,[status(thm),parent(t18:2)],[p11_23]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))),
inference(extension,[status(thm),parent(t20:2)],[p11_5]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))),
inference(extension,[status(thm),parent(t20:3)],[p11_5]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
( ~ p10(f13(f6(c22),f14(f15(f7(c25)))),f13(f6(c24),f16(c26,f14(f15(f7(c25))))))
| p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),f16(c26,f14(f15(f7(c25))))))) ),
inference(extension,[status(thm),parent(t18:3)],[p11_18]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:3]) ).
cnf(t28,plain,
p10(f13(f6(c22),f14(f15(f7(c25)))),f13(f6(c24),f16(c26,f14(f15(f7(c25)))))),
inference(extension,[status(thm),parent(t26:2)],[p10_24]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),f16(c26,c27)))),
inference(extension,[status(thm),parent(t2:3)],[p20_32]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t2:3]) ).
cnf(t32,plain,
( ~ p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27))))
| ~ p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c22),c27)))
| p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c22),c27))) ),
inference(extension,[status(thm),parent(t2:4)],[p11_23]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t2:4]) ).
cnf(t34,plain,
( ~ p11(f12(f13(f6(c22),c27)),f12(f13(f6(c24),f16(c26,c27))))
| ~ p11(f12(f13(f6(c22),c27)),f12(f13(f6(c22),c27)))
| p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c22),c27))) ),
inference(extension,[status(thm),parent(t32:2)],[p11_23]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( ~ p11(f12(f13(f6(c22),c27)),f12(f13(f6(c22),c27)))
| ~ p11(f12(f13(f6(c22),c27)),f12(f13(f6(c22),c27)))
| p11(f12(f13(f6(c22),c27)),f12(f13(f6(c22),c27))) ),
inference(extension,[status(thm),parent(t34:2)],[p11_23]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p11(f12(f13(f6(c22),c27)),f12(f13(f6(c22),c27))),
inference(extension,[status(thm),parent(t36:2)],[p11_5]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
p11(f12(f13(f6(c22),c27)),f12(f13(f6(c22),c27))),
inference(extension,[status(thm),parent(t36:3)],[p11_5]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
( ~ p10(f13(f6(c22),c27),f13(f6(c24),f16(c26,c27)))
| p11(f12(f13(f6(c22),c27)),f12(f13(f6(c24),f16(c26,c27)))) ),
inference(extension,[status(thm),parent(t34:3)],[p11_18]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t34:3]) ).
cnf(t44,plain,
p10(f13(f6(c22),c27),f13(f6(c24),f16(c26,c27))),
inference(extension,[status(thm),parent(t42:2)],[p10_24]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27))))
| ~ p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27))))
| p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27)))) ),
inference(extension,[status(thm),parent(t32:3)],[p11_23]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t32:3]) ).
cnf(t48,plain,
( ~ p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27))))
| ~ p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27))))
| p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27)))) ),
inference(extension,[status(thm),parent(t46:2)],[p11_23]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27)))),
inference(extension,[status(thm),parent(t48:2)],[p11_5]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27)))),
inference(extension,[status(thm),parent(t48:3)],[p11_5]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t48:3]) ).
cnf(t54,plain,
( ~ p10(f13(f6(c24),f16(c26,c27)),f13(f6(c24),f16(c26,c27)))
| p11(f12(f13(f6(c24),f16(c26,c27))),f12(f13(f6(c24),f16(c26,c27)))) ),
inference(extension,[status(thm),parent(t46:3)],[p11_18]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t46:3]) ).
cnf(t56,plain,
p10(f13(f6(c24),f16(c26,c27)),f13(f6(c24),f16(c26,c27))),
inference(extension,[status(thm),parent(t54:2)],[p10_1]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN620-1 : 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
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 07:07:44 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------