%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 : Sun Sep 27 09:21:28 AM UTC 2026
% Result : Unsatisfiable 26.48s 4.22s
% Output : CNFRefutation 26.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 31 unt; 0 nHn; 7 RR)
% Number of literals : 31 ( 30 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 40 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(axiom_14,axiom,
p0(b,X0) = true ).
cnf(axiom_19,axiom,
m0(X0,d,X1) = true ).
cnf(axiom_22,axiom,
p0(b,c) = true ).
cnf(rule_107,axiom,
ifeq(m0(e,d,X0),true,ifeq(m0(X0,d,X0),true,q1(e,X0,X0),true),true) = true ).
cnf(rule_129,axiom,
ifeq(q1(X0,X1,X1),true,k2(X1,X1),true) = true ).
cnf(rule_194,axiom,
ifeq(k2(X0,X1),true,k3(X1,X1,X0),true) = true ).
cnf(rule_287,axiom,
ifeq(k3(X0,X0,X1),true,p4(X0,X1,X0),true) = true ).
cnf(prove_this,negated_conjecture,
p4(X0,c,X1) != true ).
cnf(c0,plain,
ifeq(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom]) ).
cnf(c14,plain,
p0(b,X0) = true,
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c19,plain,
m0(X0,d,X1) = true,
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c22,plain,
p0(b,c) = true,
inference(clausification,[status(esa)],[axiom_22]) ).
cnf(c143,plain,
ifeq(m0(e,d,X0),true,ifeq(m0(X0,d,X0),true,q1(e,X0,X0),true),true) = true,
inference(clausification,[status(esa)],[rule_107]) ).
cnf(c165,plain,
ifeq(q1(X0,X1,X1),true,k2(X1,X1),true) = true,
inference(clausification,[status(esa)],[rule_129]) ).
cnf(c229,plain,
ifeq(k2(X0,X1),true,k3(X1,X1,X0),true) = true,
inference(clausification,[status(esa)],[rule_194]) ).
cnf(c318,plain,
ifeq(k3(X0,X0,X1),true,p4(X0,X1,X0),true) = true,
inference(clausification,[status(esa)],[rule_287]) ).
cnf(c362,plain,
p4(X0,c,X1) != true,
inference(clausification,[status(esa)],[prove_this]) ).
cnf(d0,plain,
ifeq(true,true,ifeq(m0(X0,d,X0),true,q1(e,X0,X0),true),true) = true,
inference(demodulation,[status(thm)],[c143,c19]) ).
cnf(d1,plain,
ifeq(m0(X0,d,X0),true,q1(e,X0,X0),true) = true,
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
ifeq(true,true,q1(e,X0,X0),true) = true,
inference(demodulation,[status(thm)],[d1,c19]) ).
cnf(d3,plain,
q1(e,X0,X0) = true,
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
ifeq(true,true,k2(X0,X0),true) = true,
inference(superposition,[status(thm)],[d3,c165]) ).
cnf(d5,plain,
k2(X0,X0) = true,
inference(demodulation,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
ifeq(true,true,k3(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[d5,c229]) ).
cnf(d7,plain,
k3(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
ifeq(true,true,p4(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[d7,c318]) ).
cnf(d9,plain,
p4(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
true != true,
inference(superposition,[status(thm)],[d9,c362]) ).
cnf(d11,plain,
true = true,
inference(demodulation,[status(thm)],[c22,c14]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 17:17:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.48/4.22 % SZS status Unsatisfiable for theBenchmark.p
% 26.48/4.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------