%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN214-10 : 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 : n005.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 09:21:34 AM UTC 2026
% Result : Unsatisfiable 25.00s 10.39s
% Output : CNFRefutation 25.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of clauses : 73 ( 73 unt; 0 nHn; 22 RR)
% Number of literals : 73 ( 72 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-4 aty)
% Number of variables : 99 ( 51 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_26,axiom,
n0(d,c) = true ).
cnf(axiom_28,axiom,
k0(e) = true ).
cnf(axiom_30,axiom,
n0(e,e) = true ).
cnf(rule_006,axiom,
ifeq(m0(X0,X0,X1),true,m1(X1,X1,X1),true) = true ).
cnf(rule_066,axiom,
ifeq(n0(X0,X1),true,p1(X1,X1,X1),true) = true ).
cnf(rule_085,axiom,
ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true ).
cnf(rule_137,axiom,
ifeq(p1(X0,X1,X2),true,n2(X2),true) = true ).
cnf(rule_150,axiom,
ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true ).
cnf(rule_177,axiom,
ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true) = true ).
cnf(rule_240,axiom,
ifeq(p2(X0,X1,X2),true,n3(X2),true) = true ).
cnf(rule_244,axiom,
ifeq(n2(X0),true,p3(X0,X0,X0),true) = true ).
cnf(rule_255,axiom,
ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true ).
cnf(rule_277,axiom,
ifeq(p3(X0,X1,X2),true,l4(X2),true) = true ).
cnf(rule_298,axiom,
ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true ).
cnf(rule_329,axiom,
ifeq(r4(X0),true,ifeq(l4(X1),true,s5(X1),true),true) = true ).
cnf(prove_this,negated_conjecture,
s5(c) != 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(c26,plain,
n0(d,c) = true,
inference(clausification,[status(esa)],[axiom_26]) ).
cnf(c28,plain,
k0(e) = true,
inference(clausification,[status(esa)],[axiom_28]) ).
cnf(c30,plain,
n0(e,e) = true,
inference(clausification,[status(esa)],[axiom_30]) ).
cnf(c44,plain,
ifeq(m0(X0,X0,X1),true,m1(X1,X1,X1),true) = true,
inference(clausification,[status(esa)],[rule_006]) ).
cnf(c103,plain,
ifeq(n0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(clausification,[status(esa)],[rule_066]) ).
cnf(c121,plain,
ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(clausification,[status(esa)],[rule_085]) ).
cnf(c172,plain,
ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
inference(clausification,[status(esa)],[rule_137]) ).
cnf(c185,plain,
ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true,
inference(clausification,[status(esa)],[rule_150]) ).
cnf(c212,plain,
ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true) = true,
inference(clausification,[status(esa)],[rule_177]) ).
cnf(c273,plain,
ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
inference(clausification,[status(esa)],[rule_240]) ).
cnf(c277,plain,
ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
inference(clausification,[status(esa)],[rule_244]) ).
cnf(c288,plain,
ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
inference(clausification,[status(esa)],[rule_255]) ).
cnf(c309,plain,
ifeq(p3(X0,X1,X2),true,l4(X2),true) = true,
inference(clausification,[status(esa)],[rule_277]) ).
cnf(c329,plain,
ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
inference(clausification,[status(esa)],[rule_298]) ).
cnf(c360,plain,
ifeq(r4(X0),true,ifeq(l4(X1),true,s5(X1),true),true) = true,
inference(clausification,[status(esa)],[rule_329]) ).
cnf(c362,plain,
s5(c) != true,
inference(clausification,[status(esa)],[prove_this]) ).
cnf(d0,plain,
ifeq(true,true,m1(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[c19,c44]) ).
cnf(d1,plain,
m1(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
ifeq(true,true,p2(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[d1,c185]) ).
cnf(d3,plain,
p2(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
ifeq(true,true,n3(X0),true) = true,
inference(superposition,[status(thm)],[d3,c273]) ).
cnf(d5,plain,
n3(X0) = true,
inference(demodulation,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
ifeq(q3(X1,X2),true,ifeq(n3(X0),true,ifeq(true,true,r4(X0),true),true),true) = true,
inference(superposition,[status(thm)],[c14,c329]) ).
cnf(d7,plain,
ifeq(q3(X1,X2),true,ifeq(true,true,ifeq(true,true,r4(X0),true),true),true) = true,
inference(demodulation,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
ifeq(q3(X1,X2),true,ifeq(true,true,r4(X0),true),true) = true,
inference(demodulation,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
ifeq(q3(X1,X2),true,r4(X0),true) = true,
inference(demodulation,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
ifeq(q2(e,e,X0),true,ifeq(true,true,q3(e,X0),true),true) = true,
inference(superposition,[status(thm)],[c30,c288]) ).
cnf(d11,plain,
ifeq(q2(e,e,X0),true,q3(e,X0),true) = true,
inference(demodulation,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
ifeq(true,true,p1(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[c14,c121]) ).
cnf(d13,plain,
p1(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
ifeq(p1(X0,X0,X0),true,ifeq(true,true,q2(X0,e,e),true),true) = true,
inference(superposition,[status(thm)],[c28,c212]) ).
cnf(d15,plain,
ifeq(true,true,ifeq(true,true,q2(X0,e,e),true),true) = true,
inference(demodulation,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
ifeq(true,true,q2(X0,e,e),true) = true,
inference(demodulation,[status(thm)],[d15,c0]) ).
cnf(d17,plain,
q2(X0,e,e) = true,
inference(demodulation,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
ifeq(true,true,q3(e,e),true) = true,
inference(superposition,[status(thm)],[d17,d11]) ).
cnf(d19,plain,
q3(e,e) = true,
inference(demodulation,[status(thm)],[d18,c0]) ).
cnf(d20,plain,
ifeq(true,true,r4(X0),true) = true,
inference(superposition,[status(thm)],[d19,d9]) ).
cnf(d21,plain,
r4(X0) = true,
inference(demodulation,[status(thm)],[d20,c0]) ).
cnf(d22,plain,
ifeq(true,true,p1(c,c,c),true) = true,
inference(superposition,[status(thm)],[c26,c103]) ).
cnf(d23,plain,
p1(c,c,c) = true,
inference(demodulation,[status(thm)],[d22,c0]) ).
cnf(d24,plain,
ifeq(true,true,n2(c),true) = true,
inference(superposition,[status(thm)],[d23,c172]) ).
cnf(d25,plain,
n2(c) = true,
inference(demodulation,[status(thm)],[d24,c0]) ).
cnf(d26,plain,
ifeq(true,true,p3(c,c,c),true) = true,
inference(superposition,[status(thm)],[d25,c277]) ).
cnf(d27,plain,
p3(c,c,c) = true,
inference(demodulation,[status(thm)],[d26,c0]) ).
cnf(d28,plain,
ifeq(true,true,l4(c),true) = true,
inference(superposition,[status(thm)],[d27,c309]) ).
cnf(d29,plain,
l4(c) = true,
inference(demodulation,[status(thm)],[d28,c0]) ).
cnf(d30,plain,
ifeq(r4(X0),true,ifeq(true,true,s5(c),true),true) = true,
inference(superposition,[status(thm)],[d29,c360]) ).
cnf(d31,plain,
ifeq(true,true,ifeq(true,true,s5(c),true),true) = true,
inference(demodulation,[status(thm)],[d30,d21]) ).
cnf(d32,plain,
ifeq(true,true,s5(c),true) = true,
inference(demodulation,[status(thm)],[d31,c0]) ).
cnf(d33,plain,
s5(c) = true,
inference(demodulation,[status(thm)],[d32,c0]) ).
cnf(d34,plain,
$false,
inference(resolution,[status(thm)],[c362,d33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN214-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n005.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 : Sat Sep 26 17:22:21 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.00/10.39 % SZS status Unsatisfiable for theBenchmark.p
% 25.00/10.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------