%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% 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 09:09:08 AM UTC 2026
% Result : Unsatisfiable 0.78s 1.05s
% Output : Proof 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 40 ( 29 unt; 0 nHn; 37 RR)
% Number of literals : 59 ( 44 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_006,axiom,
f(nil) = btrue,
file('theBenchmark.p',axiom_006) ).
cnf(axiom_008,axiom,
prop1(X) = eq(f(X),bfalse),
file('theBenchmark.p',axiom_008) ).
cnf(axiom_010,axiom,
eq(btrue,bfalse) = bfalse,
file('theBenchmark.p',axiom_010) ).
cnf(axiom_011,axiom,
eq(X,X) = btrue,
file('theBenchmark.p',axiom_011) ).
cnf(goal,negated_conjecture,
eq(prop1(X),bfalse) != btrue,
file('theBenchmark.p',goal) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_10,axiom,
( eq(Eq_x_0,Eq_x_1) = eq(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(t1,plain,
eq(prop1(nil),bfalse) != btrue,
inference(start,[status(thm),parent(0:0)],[goal]) ).
cnf(t2,plain,
( eq(eq(f(nil),bfalse),bfalse) != btrue
| eq(prop1(nil),bfalse) != eq(eq(f(nil),bfalse),bfalse)
| eq(prop1(nil),bfalse) = btrue ),
inference(extension,[status(thm),parent(t1:1)],[equality_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( bfalse != bfalse
| prop1(nil) != eq(f(nil),bfalse)
| eq(prop1(nil),bfalse) = eq(eq(f(nil),bfalse),bfalse) ),
inference(extension,[status(thm),parent(t2:2)],[equality_10]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
prop1(nil) = eq(f(nil),bfalse),
inference(extension,[status(thm),parent(t4:2)],[axiom_008]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( eq(btrue,bfalse) != bfalse
| bfalse != eq(btrue,bfalse)
| bfalse = bfalse ),
inference(extension,[status(thm),parent(t4:3)],[equality_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( eq(btrue,bfalse) != bfalse
| bfalse = eq(btrue,bfalse) ),
inference(extension,[status(thm),parent(t8:2)],[equality_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
eq(btrue,bfalse) = bfalse,
inference(extension,[status(thm),parent(t10:2)],[axiom_010]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
eq(btrue,bfalse) = bfalse,
inference(extension,[status(thm),parent(t8:3)],[axiom_010]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:3]) ).
cnf(t16,plain,
( eq(eq(btrue,bfalse),eq(btrue,bfalse)) != btrue
| eq(eq(f(nil),bfalse),bfalse) != eq(eq(btrue,bfalse),eq(btrue,bfalse))
| eq(eq(f(nil),bfalse),bfalse) = btrue ),
inference(extension,[status(thm),parent(t2:3)],[equality_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:3]) ).
cnf(t18,plain,
( bfalse != eq(btrue,bfalse)
| eq(f(nil),bfalse) != eq(btrue,bfalse)
| eq(eq(f(nil),bfalse),bfalse) = eq(eq(btrue,bfalse),eq(btrue,bfalse)) ),
inference(extension,[status(thm),parent(t16:2)],[equality_10]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( bfalse != bfalse
| f(nil) != btrue
| eq(f(nil),bfalse) = eq(btrue,bfalse) ),
inference(extension,[status(thm),parent(t18:2)],[equality_10]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
f(nil) = btrue,
inference(extension,[status(thm),parent(t20:2)],[axiom_006]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
bfalse = bfalse,
inference(extension,[status(thm),parent(t20:3)],[equality_1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
( eq(btrue,bfalse) != bfalse
| bfalse = eq(btrue,bfalse) ),
inference(extension,[status(thm),parent(t18:3)],[equality_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:3]) ).
cnf(t28,plain,
eq(btrue,bfalse) = bfalse,
inference(extension,[status(thm),parent(t26:2)],[axiom_010]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
eq(eq(btrue,bfalse),eq(btrue,bfalse)) = btrue,
inference(extension,[status(thm),parent(t16:3)],[axiom_011]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t16:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 This is a CNF_UNS_RFO_PEQ_UEQ 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
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 06:22:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.78/1.05 % SZS status Unsatisfiable for theBenchmark
% 0.78/1.05 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------