%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN137-1 : 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 : n004.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 09:09:35 AM UTC 2026
% Result : Unsatisfiable 0.56s 0.81s
% Output : Proof 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of clauses : 78 ( 56 unt; 0 nHn; 75 RR)
% Number of literals : 126 ( 0 equ; 50 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 23 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('SYN001-0.ax',axiom_1) ).
cnf(axiom_11,axiom,
n0(e,b),
file('SYN001-0.ax',axiom_11) ).
cnf(axiom_14,axiom,
p0(b,X),
file('SYN001-0.ax',axiom_14) ).
cnf(axiom_19,axiom,
m0(X,d,Y),
file('SYN001-0.ax',axiom_19) ).
cnf(axiom_25,axiom,
q0(d,d),
file('SYN001-0.ax',axiom_25) ).
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(axiom_38,axiom,
m0(b,a,a),
file('SYN001-0.ax',axiom_38) ).
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_131,axiom,
( ~ l2(E,E)
| ~ n0(e,E)
| ~ s1(D)
| l2(D,E) ),
file('SYN001-0.ax',rule_131) ).
cnf(rule_133,axiom,
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
file('SYN001-0.ax',rule_133) ).
cnf(rule_191,axiom,
( ~ s1(d)
| ~ r1(d)
| s2(d) ),
file('SYN001-0.ax',rule_191) ).
cnf(rule_225,axiom,
( ~ s2(B)
| ~ m0(J,C,C)
| ~ l2(C,J)
| ~ m0(B,B,A)
| m3(J,A,J) ),
file('SYN001-0.ax',rule_225) ).
cnf(prove_this,negated_conjecture,
~ m3(b,c,b),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ m3(b,c,b),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ m0(d,d,c)
| ~ l2(a,b)
| ~ m0(b,a,a)
| ~ s2(d)
| m3(b,c,b) ),
inference(extension,[status(thm),parent(t1:1)],[rule_225]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ r1(d)
| ~ s1(d)
| s2(d) ),
inference(extension,[status(thm),parent(t2:2)],[rule_191]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ q0(d,c)
| ~ s1(a)
| s1(d) ),
inference(extension,[status(thm),parent(t4:2)],[rule_126]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
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(a,b),
inference(extension,[status(thm),parent(t8:3)],[axiom_36]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:3]) ).
cnf(t16,plain,
q0(d,c),
inference(extension,[status(thm),parent(t6:3)],[axiom_33]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:3]) ).
cnf(t18,plain,
( ~ q0(d,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(d) ),
inference(extension,[status(thm),parent(t4:3)],[rule_124]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t4:3]) ).
cnf(t20,plain,
( ~ m0(d,d,d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t18:2)],[rule_122]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
m0(d,d,d),
inference(extension,[status(thm),parent(t20:2)],[axiom_19]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
s0(d),
inference(extension,[status(thm),parent(t18:3)],[axiom_1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t18:3]) ).
cnf(t26,plain,
q0(d,d),
inference(extension,[status(thm),parent(t18:4)],[axiom_25]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:4]) ).
cnf(t28,plain,
m0(b,a,a),
inference(extension,[status(thm),parent(t2:3)],[axiom_38]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t2:3]) ).
cnf(t30,plain,
( ~ s1(a)
| ~ n0(e,b)
| ~ l2(b,b)
| l2(a,b) ),
inference(extension,[status(thm),parent(t2:4)],[rule_131]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t2:4]) ).
cnf(t32,plain,
( ~ p0(b,b)
| ~ s1(d)
| ~ m0(U_3098,d,b)
| l2(b,b) ),
inference(extension,[status(thm),parent(t30:2)],[rule_133]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
m0(U_3098,d,b),
inference(extension,[status(thm),parent(t32:2)],[axiom_19]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( ~ q0(d,c)
| ~ s1(b)
| s1(d) ),
inference(extension,[status(thm),parent(t32:3)],[rule_126]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t36:2)],[rule_125]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
p0(b,b),
inference(extension,[status(thm),parent(t38:2)],[axiom_14]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
q0(d,c),
inference(extension,[status(thm),parent(t36:3)],[axiom_33]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t36:3]) ).
cnf(t44,plain,
p0(b,b),
inference(extension,[status(thm),parent(t32:4)],[axiom_14]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t32:4]) ).
cnf(t46,plain,
n0(e,b),
inference(extension,[status(thm),parent(t30:3)],[axiom_11]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t30:3]) ).
cnf(t48,plain,
( ~ q0(a,b)
| ~ s1(a)
| s1(a) ),
inference(extension,[status(thm),parent(t30:4)],[rule_126]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t30:4]) ).
cnf(t50,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
inference(extension,[status(thm),parent(t48:2)],[rule_126]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t50:2)],[rule_125]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
p0(b,b),
inference(extension,[status(thm),parent(t52:2)],[axiom_14]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
q0(a,b),
inference(extension,[status(thm),parent(t50:3)],[axiom_36]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t50:3]) ).
cnf(t58,plain,
q0(a,b),
inference(extension,[status(thm),parent(t48:3)],[axiom_36]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t48:3]) ).
cnf(t60,plain,
m0(d,d,c),
inference(extension,[status(thm),parent(t2:5)],[axiom_19]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t2:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN137-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.00/0.03 % 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 : n004.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 06:25:19 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.56/0.81 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.81 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------