%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWX190-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:34:40 PM UTC 2026
% Result : Unsatisfiable 1.35s 1.74s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 7 RR)
% Number of literals : 23 ( 22 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goal,negated_conjecture,
eq3(prop4(X1),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(axiom_063,axiom,
prop4(X1) = eq2(opt(d(X1)),opt(d(opt(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_063) ).
cnf(axiom_052,axiom,
opt(x(n(z),X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_052) ).
cnf(axiom_044,axiom,
d(x(X1,X2)) = x(d(X1),d(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_044) ).
cnf(axiom_043,axiom,
d(n(X1)) = n(z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_043) ).
cnf(axiom_019,axiom,
fail32(n(X1),n(X2)) = n(mulNat(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
cnf(axiom_074,axiom,
eq2(x(X1,X2),n(X3)) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_074) ).
cnf(axiom_088,axiom,
eq3(X1,X1) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_088) ).
cnf(c_0_8,negated_conjecture,
eq3(prop4(X1),bfalse) != btrue,
goal ).
cnf(c_0_9,axiom,
prop4(X1) = eq2(opt(d(X1)),opt(d(opt(X1)))),
axiom_063 ).
cnf(c_0_10,negated_conjecture,
eq3(eq2(opt(d(X1)),opt(d(opt(X1)))),bfalse) != btrue,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
opt(x(n(z),X1)) = X1,
axiom_052 ).
cnf(c_0_12,axiom,
d(x(X1,X2)) = x(d(X1),d(X2)),
axiom_044 ).
cnf(c_0_13,axiom,
d(n(X1)) = n(z),
axiom_043 ).
cnf(c_0_14,negated_conjecture,
eq3(eq2(opt(d(x(n(z),X1))),opt(d(X1))),bfalse) != btrue,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
d(x(n(X1),X2)) = x(n(z),d(X2)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
eq3(eq2(d(X1),opt(d(X1))),bfalse) != btrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_11]) ).
cnf(c_0_17,axiom,
fail32(n(X1),n(X2)) = n(mulNat(X1,X2)),
axiom_019 ).
cnf(c_0_18,negated_conjecture,
eq3(eq2(x(n(z),d(X1)),d(X1)),bfalse) != btrue,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_11]) ).
cnf(c_0_19,plain,
d(fail32(n(X1),n(X2))) = n(z),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_20,axiom,
eq2(x(X1,X2),n(X3)) = bfalse,
axiom_074 ).
cnf(c_0_21,axiom,
eq3(X1,X1) = btrue,
axiom_088 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX190-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 07:54:34 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.35/1.74 % Version : CSE_E---1.7
% 1.35/1.74 % Problem : theBenchmark.p
% 1.35/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.74 % SZS output start CNFRefutation
% See solution above
% 1.35/1.74 % Total time : 1.368s
%------------------------------------------------------------------------------