%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX207+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 01:46:44 PM UTC 2026
% Result : Theorem 0.11s 0.24s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 23 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 31 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
pB != pE,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(f17,axiom,
! [X0,X1] : proj1C(c2(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_017) ).
fof(f19,axiom,
! [X0] : append(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).
fof(f20,axiom,
! [X0,X1,X2] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_020) ).
fof(f24,axiom,
linP(pB) = cons(b,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_024) ).
fof(f25,axiom,
linP(pE) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_025) ).
fof(f26,axiom,
! [X0,X1] : linC(c2(X0,X1)) = append(linP(X0),linP(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_026) ).
fof(f27,conjecture,
? [X0,X1] :
~ ( linC(X0) = linC(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_027) ).
fof(f28,negated_conjecture,
~ ? [X0,X1] :
~ ( linC(X0) = linC(X1)
=> X0 = X1 ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( X0 = X1
| linC(X0) != linC(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f45,plain,
pB != pE,
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X0,X1] : proj1C(c2(X0,X1)) = X0,
inference(cnf_transformation,[],[f17]) ).
fof(f48,plain,
! [X0] : append(nil,X0) = X0,
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
! [X2,X0,X1] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
inference(cnf_transformation,[],[f20]) ).
fof(f53,plain,
cons(b,nil) = linP(pB),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
nil = linP(pE),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X0,X1] : linC(c2(X0,X1)) = append(linP(X0),linP(X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
! [X0,X1] :
( linC(X0) != linC(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f154,plain,
! [X0] : linC(c2(pE,X0)) = append(nil,linP(X0)),
inference(superposition,[],[f55,f54]) ).
fof(f155,plain,
! [X0] : linC(c2(X0,pE)) = append(linP(X0),nil),
inference(superposition,[],[f55,f54]) ).
fof(f156,plain,
! [X0] : linP(X0) = linC(c2(pE,X0)),
inference(forward_demodulation,[],[f154,f48]) ).
fof(f157,plain,
! [X0,X1] :
( linP(X0) != linC(X1)
| c2(pE,X0) = X1 ),
inference(superposition,[],[f56,f156]) ).
fof(f380,plain,
! [X0,X1] :
( linP(X1) != append(linP(X0),nil)
| c2(X0,pE) = c2(pE,X1) ),
inference(superposition,[],[f157,f155]) ).
fof(f403,plain,
! [X0] : cons(b,append(nil,X0)) = append(linP(pB),X0),
inference(superposition,[],[f49,f53]) ).
fof(f404,plain,
! [X0] : append(linP(pB),X0) = cons(b,X0),
inference(forward_demodulation,[],[f403,f48]) ).
fof(f926,plain,
! [X0] :
( linP(X0) != cons(b,nil)
| c2(pE,X0) = c2(pB,pE) ),
inference(superposition,[],[f380,f404]) ).
fof(f934,plain,
! [X0] :
( linP(X0) != linP(pB)
| c2(pE,X0) = c2(pB,pE) ),
inference(forward_demodulation,[],[f926,f53]) ).
fof(f1086,plain,
c2(pB,pE) = c2(pE,pB),
inference(equality_resolution,[],[f934]) ).
fof(f1108,plain,
pE = proj1C(c2(pB,pE)),
inference(superposition,[],[f46,f1086]) ).
fof(f1109,plain,
pB = pE,
inference(forward_demodulation,[],[f1108,f46]) ).
fof(f1112,plain,
$false,
inference(forward_subsumption_resolution,[],[f1109,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX207+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n010.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 15:10:16 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 Running first-order model finding
% 0.11/0.19 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.24 % (1996963)Will run a generic schedule for satisfiability detection.
% 0.11/0.24 % (1996970)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4117778229:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.24 % (1996969)% WARNING: option uhcvi not known.
% 0.11/0.24 % (1996968)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2700179028_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.24 % (1996971)dis+10_1_sil=32000:sp=arity:random_seed=2877529741:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.24 % (1996974)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2934075983:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.24 % (1996969)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2232169300:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.24 % (1996972)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4036733700:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.24 % (1996973)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3974195543:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.24 % (1996970) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1996963-1996970"...
% 0.11/0.24 % Detected minimum model sizes of [3]
% 0.11/0.24 % Detected maximum model sizes of [max]
% 0.11/0.24 % TRYING [3]
% 0.11/0.24 % (1996970)...printing done.
% 0.11/0.24 % (1996970)Refutation found. Thanks to Tanya!
% 0.11/0.24 % SZS status Theorem for theBenchmark
% 0.11/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.24 % (1996970)------------------------------
% 0.11/0.24 % (1996970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.24 % (1996970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.24 % (1996970)CaDiCaL version: 2.1.3
% 0.11/0.24 % (1996970)Termination reason: Refutation
% 0.11/0.24 % (1996970)Time elapsed: 0.009 s
% 0.11/0.24 % (1996970)Peak memory usage: 12 MB
% 0.11/0.24 % (1996970)Instructions burned: 25 (million)
% 0.11/0.24 % (1996963)Success in time 0.036 s
% 0.11/0.24 % Vampire exiting
%------------------------------------------------------------------------------