%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN563-10 : 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 : n008.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 09:29:05 AM UTC 2026
% Result : Unsatisfiable 46.47s 7.13s
% Output : CNFRefutation 46.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of clauses : 48 ( 48 unt; 0 nHn; 22 RR)
% Number of literals : 48 ( 47 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 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 : 52 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq2(X0,X0,X1,X2) = X1 ).
cnf(ifeq_axiom_001,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(p2_1,negated_conjecture,
p2(X0,X0) = true ).
cnf(p6_2,negated_conjecture,
p6(X0,X0) = true ).
cnf(p2_4,negated_conjecture,
p2(f4(c7),f4(c8)) = true ).
cnf(p5_7,negated_conjecture,
p5(f3(f3(X0)),f3(f4(X0))) = true ).
cnf(p6_9,negated_conjecture,
ifeq2(p6(c7,X0),true,p6(c7,f3(X0)),true) = true ).
cnf(p6_10,negated_conjecture,
ifeq2(p5(X0,X1),true,p6(f4(X0),X1),true) = true ).
cnf(p2_11,negated_conjecture,
ifeq2(p2(X0,X1),true,p2(f3(X0),f3(X1)),true) = true ).
cnf(p5_15,negated_conjecture,
ifeq2(p6(X0,X1),true,ifeq2(p5(X1,X2),true,p5(X0,X2),true),true) = true ).
cnf(p6_16,negated_conjecture,
ifeq2(p2(X0,X1),true,ifeq2(p2(X2,X3),true,ifeq2(p6(X2,X0),true,p6(X3,X1),true),true),true) = true ).
cnf(not_p6_5,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b ).
cnf(goal,negated_conjecture,
a != b ).
cnf(c0,plain,
ifeq2(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom]) ).
cnf(c1,plain,
ifeq(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom_001]) ).
cnf(c2,plain,
p2(X0,X0) = true,
inference(clausification,[status(esa)],[p2_1]) ).
cnf(c3,plain,
p6(X0,X0) = true,
inference(clausification,[status(esa)],[p6_2]) ).
cnf(c4,plain,
p2(f4(c7),f4(c8)) = true,
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c6,plain,
p5(f3(f3(X0)),f3(f4(X0))) = true,
inference(clausification,[status(esa)],[p5_7]) ).
cnf(c8,plain,
ifeq2(p6(c7,X0),true,p6(c7,f3(X0)),true) = true,
inference(clausification,[status(esa)],[p6_9]) ).
cnf(c9,plain,
ifeq2(p5(X0,X1),true,p6(f4(X0),X1),true) = true,
inference(clausification,[status(esa)],[p6_10]) ).
cnf(c10,plain,
ifeq2(p2(X0,X1),true,p2(f3(X0),f3(X1)),true) = true,
inference(clausification,[status(esa)],[p2_11]) ).
cnf(c14,plain,
ifeq2(p6(X0,X1),true,ifeq2(p5(X1,X2),true,p5(X0,X2),true),true) = true,
inference(clausification,[status(esa)],[p5_15]) ).
cnf(c15,plain,
ifeq2(p2(X0,X1),true,ifeq2(p2(X2,X3),true,ifeq2(p6(X2,X0),true,p6(X3,X1),true),true),true) = true,
inference(clausification,[status(esa)],[p6_16]) ).
cnf(c18,plain,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
inference(clausification,[status(esa)],[not_p6_5]) ).
cnf(c19,plain,
b != a,
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
ifeq2(p2(X1,X2),true,ifeq2(true,true,ifeq2(p6(X0,X1),true,p6(X0,X2),true),true),true) = true,
inference(superposition,[status(thm)],[c2,c15]) ).
cnf(d1,plain,
ifeq2(p2(X1,X2),true,ifeq2(p6(X0,X1),true,p6(X0,X2),true),true) = true,
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
ifeq2(true,true,p2(f3(f4(c7)),f3(f4(c8))),true) = true,
inference(superposition,[status(thm)],[c4,c10]) ).
cnf(d3,plain,
p2(f3(f4(c7)),f3(f4(c8))) = true,
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
ifeq2(true,true,ifeq2(p6(X0,f3(f4(c7))),true,p6(X0,f3(f4(c8))),true),true) = true,
inference(superposition,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
ifeq2(p6(X0,f3(f4(c7))),true,p6(X0,f3(f4(c8))),true) = true,
inference(demodulation,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
ifeq2(true,true,p6(c7,f3(c7)),true) = true,
inference(superposition,[status(thm)],[c3,c8]) ).
cnf(d7,plain,
p6(c7,f3(c7)) = true,
inference(demodulation,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
ifeq2(true,true,p6(c7,f3(f3(c7))),true) = true,
inference(superposition,[status(thm)],[d7,c8]) ).
cnf(d9,plain,
p6(c7,f3(f3(c7))) = true,
inference(demodulation,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
ifeq2(true,true,ifeq2(p5(f3(f3(c7)),X0),true,p5(c7,X0),true),true) = true,
inference(superposition,[status(thm)],[d9,c14]) ).
cnf(d11,plain,
ifeq2(p5(f3(f3(c7)),X0),true,p5(c7,X0),true) = true,
inference(demodulation,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
ifeq2(true,true,p5(c7,f3(f4(c7))),true) = true,
inference(superposition,[status(thm)],[c6,d11]) ).
cnf(d13,plain,
p5(c7,f3(f4(c7))) = true,
inference(demodulation,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
ifeq2(true,true,p6(f4(c7),f3(f4(c7))),true) = true,
inference(superposition,[status(thm)],[d13,c9]) ).
cnf(d15,plain,
p6(f4(c7),f3(f4(c7))) = true,
inference(demodulation,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
ifeq2(true,true,p6(f4(c7),f3(f4(c8))),true) = true,
inference(superposition,[status(thm)],[d15,d5]) ).
cnf(d17,plain,
p6(f4(c7),f3(f4(c8))) = true,
inference(demodulation,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
ifeq(true,true,a,b) = b,
inference(demodulation,[status(thm)],[c18,d17]) ).
cnf(d19,plain,
a = b,
inference(demodulation,[status(thm)],[d18,c1]) ).
cnf(d20,plain,
a != a,
inference(demodulation,[status(thm)],[c19,d19]) ).
cnf(d21,plain,
$false,
inference(equality_resolution,[status(thm)],[d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN563-10 : 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 : n008.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 18:14:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.47/7.13 % SZS status Unsatisfiable for theBenchmark.p
% 46.47/7.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------