%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN161-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n011.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 09:09:38 AM UTC 2026
% Result : Unsatisfiable 1.30s 16.43s
% Output : Proof 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of clauses : 52 ( 33 unt; 0 nHn; 50 RR)
% Number of literals : 81 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 17 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
r0(b),
file('SYN001-0.ax',axiom_9) ).
cnf(axiom_14,axiom,
p0(b,X),
file('SYN001-0.ax',axiom_14) ).
cnf(axiom_17,axiom,
q0(X,d),
file('SYN001-0.ax',axiom_17) ).
cnf(axiom_33,axiom,
q0(d,c),
file('SYN001-0.ax',axiom_33) ).
cnf(axiom_36,axiom,
q0(a,b),
file('SYN001-0.ax',axiom_36) ).
cnf(rule_120,axiom,
( ~ r0(b)
| q1(b,b,b) ),
file('SYN001-0.ax',rule_120) ).
cnf(rule_125,axiom,
( ~ p0(I,I)
| s1(I) ),
file('SYN001-0.ax',rule_125) ).
cnf(rule_126,axiom,
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('SYN001-0.ax',rule_126) ).
cnf(rule_129,axiom,
( ~ q1(A,J,J)
| k2(J,J) ),
file('SYN001-0.ax',rule_129) ).
cnf(rule_252,axiom,
( ~ k2(J,J)
| ~ q0(I,H)
| p3(H,H,H) ),
file('SYN001-0.ax',rule_252) ).
cnf(rule_291,axiom,
( ~ p3(J,J,I)
| p4(I,I,I) ),
file('SYN001-0.ax',rule_291) ).
cnf(rule_316,axiom,
( ~ p4(b,b,J)
| ~ s1(H)
| ~ p4(I,H,H)
| n5(H,H) ),
file('SYN001-0.ax',rule_316) ).
cnf(prove_this,negated_conjecture,
~ n5(c,X),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ n5(c,c),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ p4(c,c,c)
| ~ s1(c)
| ~ p4(b,b,b)
| n5(c,c) ),
inference(extension,[status(thm),parent(t1:1)],[rule_316]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p3(b,b,b)
| p4(b,b,b) ),
inference(extension,[status(thm),parent(t2:2)],[rule_291]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ q0(a,b)
| ~ k2(b,b)
| p3(b,b,b) ),
inference(extension,[status(thm),parent(t4:2)],[rule_252]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ q1(b,b,b)
| k2(b,b) ),
inference(extension,[status(thm),parent(t6:2)],[rule_129]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(extension,[status(thm),parent(t8:2)],[rule_120]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
r0(b),
inference(extension,[status(thm),parent(t10:2)],[axiom_9]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
q0(a,b),
inference(extension,[status(thm),parent(t6:3)],[axiom_36]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:3]) ).
cnf(t16,plain,
( ~ q0(c,d)
| ~ s1(a)
| s1(c) ),
inference(extension,[status(thm),parent(t2:3)],[rule_126]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:3]) ).
cnf(t18,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
inference(extension,[status(thm),parent(t16:2)],[rule_126]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t18:2)],[rule_125]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p0(b,b),
inference(extension,[status(thm),parent(t20:2)],[axiom_14]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
q0(a,b),
inference(extension,[status(thm),parent(t18:3)],[axiom_36]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t18:3]) ).
cnf(t26,plain,
q0(c,d),
inference(extension,[status(thm),parent(t16:3)],[axiom_17]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t16:3]) ).
cnf(t28,plain,
( ~ p3(c,c,c)
| p4(c,c,c) ),
inference(extension,[status(thm),parent(t2:4)],[rule_291]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t2:4]) ).
cnf(t30,plain,
( ~ q0(d,c)
| ~ k2(b,b)
| p3(c,c,c) ),
inference(extension,[status(thm),parent(t28:2)],[rule_252]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( ~ q1(b,b,b)
| k2(b,b) ),
inference(extension,[status(thm),parent(t30:2)],[rule_129]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(extension,[status(thm),parent(t32:2)],[rule_120]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
r0(b),
inference(extension,[status(thm),parent(t34:2)],[axiom_9]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
q0(d,c),
inference(extension,[status(thm),parent(t30:3)],[axiom_33]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t30:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN161-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.02/15.23 % CPULimit : 300
% 0.02/15.23 % WCLimit : 300
% 0.02/15.23 % DateTime : Sun Sep 20 06:26:09 UTC 2026
% 0.02/15.23 % CPUTime :
% 1.30/16.43 % SZS status Unsatisfiable for theBenchmark
% 1.30/16.43 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------