%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX200-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 : Tue Sep 29 01:46:42 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X0,X1] : aux2(X0,X1,X2,bfalse) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(f5,plain,
! [X2,X0,X1] : bfalse = aux2(X0,X1,X2,bfalse),
inference(reorient_equations,[],[f4]) ).
fof(f8,axiom,
! [X0] : leqNat(s(X0),z) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
fof(f9,plain,
! [X0] : bfalse = leqNat(s(X0),z),
inference(reorient_equations,[],[f8]) ).
fof(f11,axiom,
! [X0] : merge(nil,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f15,axiom,
ord(nil) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
fof(f16,plain,
btrue = ord(nil),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
! [X2,X0,X1] : ord(cons(X0,cons(X1,X2))) = aux2(X0,X1,X2,leqNat(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
fof(f20,axiom,
! [X0] : impl(btrue,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
fof(f23,axiom,
! [X0,X1] : prop_merge_ord_not3(X0,X1) = impl(eq2(ord(X0),btrue),impl(eq2(ord(X1),bfalse),eq2(ord(merge(X0,X1)),btrue))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
fof(f24,axiom,
eq2(bfalse,btrue) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
fof(f25,plain,
bfalse = eq2(bfalse,btrue),
inference(reorient_equations,[],[f24]) ).
fof(f35,axiom,
! [X0] : eq2(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_022) ).
fof(f36,plain,
! [X0] : btrue = eq2(X0,X0),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
! [X0,X1] : eq2(prop_merge_ord_not3(X0,X1),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f38,plain,
! [X0,X1] : btrue != eq2(prop_merge_ord_not3(X0,X1),bfalse),
inference(reorient_equations,[],[f37]) ).
fof(f39,plain,
! [X0,X1] : btrue != eq2(impl(eq2(ord(X0),btrue),impl(eq2(ord(X1),bfalse),eq2(ord(merge(X0,X1)),btrue))),bfalse),
inference(definition_unfolding,[],[f38,f23]) ).
fof(f44,plain,
! [X0] : btrue != eq2(impl(eq2(ord(nil),btrue),impl(eq2(ord(X0),bfalse),eq2(ord(X0),btrue))),bfalse),
inference(superposition,[],[f39,f11]) ).
fof(f47,plain,
! [X0] : btrue != eq2(impl(eq2(btrue,btrue),impl(eq2(ord(X0),bfalse),eq2(ord(X0),btrue))),bfalse),
inference(forward_demodulation,[],[f44,f16]) ).
fof(f58,plain,
! [X0] : btrue != eq2(impl(btrue,impl(eq2(ord(X0),bfalse),eq2(ord(X0),btrue))),bfalse),
inference(superposition,[],[f47,f36]) ).
fof(f63,plain,
! [X0] : btrue != eq2(impl(eq2(ord(X0),bfalse),eq2(ord(X0),btrue)),bfalse),
inference(forward_demodulation,[],[f58,f20]) ).
fof(f132,plain,
! [X0,X1] : ord(cons(s(X0),cons(z,X1))) = aux2(s(X0),z,X1,bfalse),
inference(superposition,[],[f19,f9]) ).
fof(f134,plain,
! [X0,X1] : bfalse = ord(cons(s(X0),cons(z,X1))),
inference(forward_demodulation,[],[f132,f5]) ).
fof(f142,plain,
btrue != eq2(impl(eq2(bfalse,bfalse),eq2(bfalse,btrue)),bfalse),
inference(superposition,[],[f63,f134]) ).
fof(f147,plain,
btrue != eq2(impl(eq2(bfalse,bfalse),bfalse),bfalse),
inference(forward_demodulation,[],[f142,f25]) ).
fof(f154,plain,
btrue != eq2(impl(btrue,bfalse),bfalse),
inference(forward_demodulation,[],[f147,f36]) ).
fof(f160,plain,
btrue != eq2(bfalse,bfalse),
inference(forward_demodulation,[],[f154,f20]) ).
fof(f164,plain,
$false,
inference(forward_subsumption_resolution,[],[f160,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX200-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:07:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.26 % (4039114)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (4039122)dis+10_1_sil=32000:sp=arity:random_seed=91743328:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (4039122) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4039114-4039122"...
% 0.09/0.26 % (4039120)% WARNING: option uhcvi not known.
% 0.09/0.26 % (4039122)...printing done.
% 0.09/0.26 % (4039122)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (4039122)------------------------------
% 0.09/0.26 % (4039122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (4039122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (4039122)CaDiCaL version: 2.1.3
% 0.09/0.26 % (4039122)Termination reason: Refutation
% 0.09/0.26 % (4039122)Time elapsed: 0.003 s
% 0.09/0.26 % (4039122)Peak memory usage: 11 MB
% 0.09/0.26 % (4039122)Instructions burned: 8 (million)
% 0.09/0.26 % (4039114)Success in time 0.03 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------