%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 05:34:39 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.71s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 6 RR)
% Number of literals : 20 ( 19 equ; 5 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 : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 37 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goal,negated_conjecture,
eq3(prop_drop_inj2(X1,X2,X3),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(axiom_005,axiom,
prop_drop_inj2(X1,X2,X3) = impl(eq(drop(X1,X2),drop(X1,X3)),eq(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
cnf(axiom_002,axiom,
drop(s(X1),nil) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_002) ).
cnf(axiom_017,axiom,
eq(cons(X1,X2),nil) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_017) ).
cnf(axiom_003,axiom,
drop(s(X1),cons(X2,X3)) = drop(X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
cnf(axiom_011,axiom,
eq(X1,X1) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_011) ).
cnf(axiom,axiom,
impl(btrue,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
cnf(axiom_013,axiom,
eq3(X1,X1) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
cnf(c_0_8,negated_conjecture,
eq3(prop_drop_inj2(X1,X2,X3),bfalse) != btrue,
goal ).
cnf(c_0_9,axiom,
prop_drop_inj2(X1,X2,X3) = impl(eq(drop(X1,X2),drop(X1,X3)),eq(X2,X3)),
axiom_005 ).
cnf(c_0_10,negated_conjecture,
eq3(impl(eq(drop(X1,X2),drop(X1,X3)),eq(X2,X3)),bfalse) != btrue,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
drop(s(X1),nil) = nil,
axiom_002 ).
cnf(c_0_12,negated_conjecture,
eq3(impl(eq(drop(s(X1),X2),nil),eq(X2,nil)),bfalse) != btrue,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
eq(cons(X1,X2),nil) = bfalse,
axiom_017 ).
cnf(c_0_14,axiom,
drop(s(X1),cons(X2,X3)) = drop(X1,X3),
axiom_003 ).
cnf(c_0_15,negated_conjecture,
eq3(impl(eq(drop(X1,X2),nil),bfalse),bfalse) != btrue,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_16,axiom,
eq(X1,X1) = btrue,
axiom_011 ).
cnf(c_0_17,axiom,
impl(btrue,X1) = X1,
axiom ).
cnf(c_0_18,axiom,
eq3(X1,X1) = btrue,
axiom_013 ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_16]),c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n005.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 07:54:00 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.71 % SZS output start CNFRefutation
% See solution above
% 1.24/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------