%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 09:15:35 AM UTC 2026
% Result : Unsatisfiable 18.48s 7.88s
% Output : CNFRefutation 18.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 10 RR)
% Number of literals : 39 ( 38 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 58 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom,axiom,
impl(btrue,X0) = X0 ).
cnf(axiom_002,axiom,
drop(s(X0),nil) = nil ).
cnf(axiom_003,axiom,
drop(s(X0),cons(X1,X2)) = drop(X0,X2) ).
cnf(axiom_004,axiom,
drop(z,X0) = X0 ).
cnf(axiom_005,axiom,
'prop$udrop$uinj2'(X0,X1,X2) = impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)) ).
cnf(axiom_011,axiom,
eq(X0,X0) = btrue ).
cnf(axiom_013,axiom,
eq3(X0,X0) = btrue ).
cnf(axiom_016,axiom,
eq(nil,cons(X0,X1)) = bfalse ).
cnf(goal,negated_conjecture,
eq3('prop$udrop$uinj2'(X0,X1,X2),bfalse) != btrue ).
cnf(c0,plain,
impl(btrue,X0) = X0,
inference(clausification,[status(esa)],[axiom]) ).
cnf(c2,plain,
drop(s(X0),nil) = nil,
inference(clausification,[status(esa)],[axiom_002]) ).
cnf(c3,plain,
drop(s(X0),cons(X1,X2)) = drop(X0,X2),
inference(clausification,[status(esa)],[axiom_003]) ).
cnf(c4,plain,
drop(z,X0) = X0,
inference(clausification,[status(esa)],[axiom_004]) ).
cnf(c5,plain,
'prop$udrop$uinj2'(X0,X1,X2) = impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)),
inference(clausification,[status(esa)],[axiom_005]) ).
cnf(c11,plain,
eq(X0,X0) = btrue,
inference(clausification,[status(esa)],[axiom_011]) ).
cnf(c13,plain,
eq3(X0,X0) = btrue,
inference(clausification,[status(esa)],[axiom_013]) ).
cnf(c16,plain,
eq(nil,cons(X0,X1)) = bfalse,
inference(clausification,[status(esa)],[axiom_016]) ).
cnf(c18,plain,
eq3('prop$udrop$uinj2'(X0,X1,X2),bfalse) != btrue,
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
'prop$udrop$uinj2'(s(X0),nil,X1) = impl(eq(nil,drop(s(X0),X1)),eq(nil,X1)),
inference(superposition,[status(thm)],[c2,c5]) ).
cnf(d1,plain,
'prop$udrop$uinj2'(s(X0),nil,cons(X1,X2)) = impl(eq(nil,drop(X0,X2)),eq(nil,cons(X1,X2))),
inference(superposition,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
'prop$udrop$uinj2'(s(X2),nil,cons(X0,X1)) = impl(eq(nil,drop(X2,X1)),bfalse),
inference(demodulation,[status(thm)],[d1,c16]) ).
cnf(d3,plain,
eq3(impl(eq(nil,drop(X0,X2)),bfalse),bfalse) != btrue,
inference(superposition,[status(thm)],[d2,c18]) ).
cnf(d4,plain,
eq3(impl(eq(nil,X0),bfalse),bfalse) != btrue,
inference(superposition,[status(thm)],[c4,d3]) ).
cnf(d5,plain,
'prop$udrop$uinj2'(X0,X1,X1) = impl(btrue,eq(X1,X1)),
inference(superposition,[status(thm)],[c11,c5]) ).
cnf(d6,plain,
'prop$udrop$uinj2'(X1,X0,X0) = eq(X0,X0),
inference(demodulation,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
'prop$udrop$uinj2'(X1,X0,X0) = btrue,
inference(demodulation,[status(thm)],[d6,c11]) ).
cnf(d8,plain,
'prop$udrop$uinj2'(z,X0,X1) = impl(eq(X0,drop(z,X1)),eq(X0,X1)),
inference(superposition,[status(thm)],[c4,c5]) ).
cnf(d9,plain,
'prop$udrop$uinj2'(z,X1,X0) = impl(eq(X1,X0),eq(X1,X0)),
inference(demodulation,[status(thm)],[d8,c4]) ).
cnf(d10,plain,
'prop$udrop$uinj2'(z,X0,X0) = impl(btrue,eq(X0,X0)),
inference(superposition,[status(thm)],[c11,d9]) ).
cnf(d11,plain,
btrue = impl(btrue,eq(X0,X0)),
inference(demodulation,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
btrue = eq(X0,X0),
inference(demodulation,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
eq3(impl(btrue,bfalse),bfalse) != btrue,
inference(superposition,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
eq3(bfalse,bfalse) != btrue,
inference(demodulation,[status(thm)],[d13,c0]) ).
cnf(d15,plain,
btrue != btrue,
inference(demodulation,[status(thm)],[d14,c13]) ).
cnf(d16,plain,
'prop$udrop$uinj2'(z,X0,X0) = impl(eq(X0,X0),btrue),
inference(superposition,[status(thm)],[c11,d9]) ).
cnf(d17,plain,
btrue = impl(eq(X0,X0),btrue),
inference(demodulation,[status(thm)],[d16,d7]) ).
cnf(d18,plain,
btrue = impl(btrue,btrue),
inference(demodulation,[status(thm)],[d17,c11]) ).
cnf(d19,plain,
btrue = btrue,
inference(demodulation,[status(thm)],[d18,c0]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n001.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Sat Sep 26 16:57:03 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.17/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.48/7.88 % SZS status Unsatisfiable for theBenchmark.p
% 18.48/7.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------