%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN270-1 : 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 : 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 09:09:54 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.80s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of clauses : 68 ( 44 unt; 0 nHn; 66 RR)
% Number of literals : 111 ( 0 equ; 45 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 28 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('SYN001-0.ax',axiom_1) ).
cnf(axiom_9,axiom,
r0(b),
file('SYN001-0.ax',axiom_9) ).
cnf(axiom_13,axiom,
r0(e),
file('SYN001-0.ax',axiom_13) ).
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_24,axiom,
l0(c),
file('SYN001-0.ax',axiom_24) ).
cnf(axiom_26,axiom,
n0(d,c),
file('SYN001-0.ax',axiom_26) ).
cnf(rule_001,axiom,
( ~ n0(J,I)
| k1(I) ),
file('SYN001-0.ax',rule_001) ).
cnf(rule_035,axiom,
( ~ l0(J)
| ~ r0(I)
| m1(I,J,I) ),
file('SYN001-0.ax',rule_035) ).
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_127,axiom,
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
file('SYN001-0.ax',rule_127) ).
cnf(rule_129,axiom,
( ~ q1(A,J,J)
| k2(J,J) ),
file('SYN001-0.ax',rule_129) ).
cnf(rule_176,axiom,
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('SYN001-0.ax',rule_176) ).
cnf(rule_188,axiom,
( ~ l0(G)
| ~ r1(G)
| r2(G) ),
file('SYN001-0.ax',rule_188) ).
cnf(rule_267,axiom,
( ~ p2(B,D,C)
| r3(B,C,B) ),
file('SYN001-0.ax',rule_267) ).
cnf(rule_272,axiom,
( ~ r3(B,J,J)
| ~ r2(B)
| ~ k2(A,B)
| r3(J,A,B) ),
file('SYN001-0.ax',rule_272) ).
cnf(rule_285,axiom,
( ~ r3(H,G,H)
| ~ r0(G)
| p4(G,G,H) ),
file('SYN001-0.ax',rule_285) ).
cnf(prove_this,negated_conjecture,
~ p4(b,b,c),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ p4(b,b,c),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ r0(b)
| ~ r3(c,b,c)
| p4(b,b,c) ),
inference(extension,[status(thm),parent(t1:1)],[rule_285]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ k2(b,c)
| ~ r2(c)
| ~ r3(c,c,c)
| r3(c,b,c) ),
inference(extension,[status(thm),parent(t2:2)],[rule_272]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(c,e,c)
| r3(c,c,c) ),
inference(extension,[status(thm),parent(t4:2)],[rule_267]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ m1(e,c,e)
| p2(c,e,c) ),
inference(extension,[status(thm),parent(t6:2)],[rule_176]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ r0(e)
| ~ l0(c)
| m1(e,c,e) ),
inference(extension,[status(thm),parent(t8:2)],[rule_035]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
l0(c),
inference(extension,[status(thm),parent(t10:2)],[axiom_24]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
r0(e),
inference(extension,[status(thm),parent(t10:3)],[axiom_13]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
( ~ r1(c)
| ~ l0(c)
| r2(c) ),
inference(extension,[status(thm),parent(t4:3)],[rule_188]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:3]) ).
cnf(t18,plain,
l0(c),
inference(extension,[status(thm),parent(t16:2)],[axiom_24]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ q0(c,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(c) ),
inference(extension,[status(thm),parent(t16:3)],[rule_124]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
( ~ m0(d,d,d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t20:2)],[rule_122]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
m0(d,d,d),
inference(extension,[status(thm),parent(t22:2)],[axiom_19]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
s0(d),
inference(extension,[status(thm),parent(t20:3)],[axiom_1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t20:3]) ).
cnf(t28,plain,
q0(c,d),
inference(extension,[status(thm),parent(t20:4)],[axiom_17]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t20:4]) ).
cnf(t30,plain,
( ~ m1(b,c,b)
| ~ k1(c)
| ~ k2(c,c)
| k2(b,c) ),
inference(extension,[status(thm),parent(t4:4)],[rule_127]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t4:4]) ).
cnf(t32,plain,
( ~ q1(c,c,c)
| k2(c,c) ),
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,
( ~ m0(c,d,c)
| q1(c,c,c) ),
inference(extension,[status(thm),parent(t32:2)],[rule_122]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
m0(c,d,c),
inference(extension,[status(thm),parent(t34:2)],[axiom_19]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
( ~ n0(d,c)
| k1(c) ),
inference(extension,[status(thm),parent(t30:3)],[rule_001]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t30:3]) ).
cnf(t40,plain,
n0(d,c),
inference(extension,[status(thm),parent(t38:2)],[axiom_26]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
( ~ r0(b)
| ~ l0(c)
| m1(b,c,b) ),
inference(extension,[status(thm),parent(t30:4)],[rule_035]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t30:4]) ).
cnf(t44,plain,
l0(c),
inference(extension,[status(thm),parent(t42:2)],[axiom_24]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
r0(b),
inference(extension,[status(thm),parent(t42:3)],[axiom_9]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
r0(b),
inference(extension,[status(thm),parent(t2:3)],[axiom_9]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN270-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_HRN 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
% 0.09/5.37 % Computer : n001.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 06:33:31 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.14/5.80 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.80 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------