%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN300-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 09:09:59 AM UTC 2026
% Result : Unsatisfiable 0.31s 0.58s
% Output : Proof 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 18
% Syntax : Number of clauses : 61 ( 41 unt; 0 nHn; 58 RR)
% Number of literals : 99 ( 0 equ; 40 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('SYN001-0.ax',axiom_1) ).
cnf(axiom_14,axiom,
p0(b,X),
file('SYN001-0.ax',axiom_14) ).
cnf(axiom_15,axiom,
n0(a,b),
file('SYN001-0.ax',axiom_15) ).
cnf(axiom_17,axiom,
q0(X,d),
file('SYN001-0.ax',axiom_17) ).
cnf(axiom_19,axiom,
m0(X,d,Y),
file('SYN001-0.ax',axiom_19) ).
cnf(axiom_21,axiom,
q0(b,e),
file('SYN001-0.ax',axiom_21) ).
cnf(axiom_32,axiom,
k0(b),
file('SYN001-0.ax',axiom_32) ).
cnf(axiom_38,axiom,
m0(b,a,a),
file('SYN001-0.ax',axiom_38) ).
cnf(rule_002,axiom,
( ~ n0(H,G)
| l1(G,G) ),
file('SYN001-0.ax',rule_002) ).
cnf(rule_122,axiom,
( ~ m0(G,H,G)
| q1(G,G,G) ),
file('SYN001-0.ax',rule_122) ).
cnf(rule_124,axiom,
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
file('SYN001-0.ax',rule_124) ).
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_186,axiom,
( ~ l1(H,G)
| q2(G,G,H) ),
file('SYN001-0.ax',rule_186) ).
cnf(rule_187,axiom,
( ~ q2(D,D,D)
| ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
file('SYN001-0.ax',rule_187) ).
cnf(rule_189,axiom,
( ~ s1(b)
| ~ q2(b,H,b)
| s2(H) ),
file('SYN001-0.ax',rule_189) ).
cnf(rule_273,axiom,
( ~ m0(A,B,J)
| ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ),
file('SYN001-0.ax',rule_273) ).
cnf(prove_this,negated_conjecture,
~ s3(b,d),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ s3(b,d),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ q2(a,b,a)
| ~ s2(b)
| ~ m0(a,d,d)
| s3(b,d) ),
inference(extension,[status(thm),parent(t1:1)],[rule_273]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
m0(a,d,d),
inference(extension,[status(thm),parent(t2:2)],[axiom_19]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ q2(b,b,b)
| ~ s1(b)
| s2(b) ),
inference(extension,[status(thm),parent(t2:3)],[rule_189]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ q0(b,e)
| ~ s1(b)
| s1(b) ),
inference(extension,[status(thm),parent(t6:2)],[rule_126]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t8:2)],[rule_125]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p0(b,b),
inference(extension,[status(thm),parent(t10:2)],[axiom_14]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
q0(b,e),
inference(extension,[status(thm),parent(t8:3)],[axiom_21]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:3]) ).
cnf(t16,plain,
( ~ l1(b,b)
| q2(b,b,b) ),
inference(extension,[status(thm),parent(t6:3)],[rule_186]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:3]) ).
cnf(t18,plain,
( ~ n0(a,b)
| l1(b,b) ),
inference(extension,[status(thm),parent(t16:2)],[rule_002]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
n0(a,b),
inference(extension,[status(thm),parent(t18:2)],[axiom_15]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ r1(b)
| ~ m0(b,a,a)
| ~ k0(b)
| ~ q2(b,b,b)
| q2(a,b,a) ),
inference(extension,[status(thm),parent(t2:4)],[rule_187]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:4]) ).
cnf(t24,plain,
( ~ l1(b,b)
| q2(b,b,b) ),
inference(extension,[status(thm),parent(t22:2)],[rule_186]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ n0(a,b)
| l1(b,b) ),
inference(extension,[status(thm),parent(t24:2)],[rule_002]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
n0(a,b),
inference(extension,[status(thm),parent(t26:2)],[axiom_15]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
k0(b),
inference(extension,[status(thm),parent(t22:3)],[axiom_32]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t22:3]) ).
cnf(t32,plain,
m0(b,a,a),
inference(extension,[status(thm),parent(t22:4)],[axiom_38]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t22:4]) ).
cnf(t34,plain,
( ~ q0(b,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(b) ),
inference(extension,[status(thm),parent(t22:5)],[rule_124]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t22:5]) ).
cnf(t36,plain,
( ~ m0(d,d,d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t34:2)],[rule_122]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
m0(d,d,d),
inference(extension,[status(thm),parent(t36:2)],[axiom_19]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
s0(d),
inference(extension,[status(thm),parent(t34:3)],[axiom_1]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t34:3]) ).
cnf(t42,plain,
q0(b,d),
inference(extension,[status(thm),parent(t34:4)],[axiom_17]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t34:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN300-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 06:28:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.31/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.58 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------