%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX186+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 01:46:05 PM UTC 2026
% Result : Theorem 5.52s 1.95s
% Output : Refutation 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 4 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : nil != cons(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(f6,axiom,
! [X0] : drop(s(X0),nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
fof(f7,axiom,
! [X0,X1,X2] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f9,conjecture,
? [X0,X1,X2] :
~ ( drop(X0,X1) = drop(X0,X2)
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_009) ).
fof(f10,negated_conjecture,
~ ? [X0,X1,X2] :
~ ( drop(X0,X1) = drop(X0,X2)
=> X1 = X2 ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( X1 = X2
| drop(X0,X2) != drop(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f12,plain,
! [X2,X0,X1] :
( drop(X0,X2) != drop(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f11]) ).
fof(f14,plain,
! [X2,X0,X1] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
! [X0] : nil = drop(s(X0),nil),
inference(cnf_transformation,[],[f6]) ).
fof(f17,plain,
! [X0,X1] : cons(X0,X1) != nil,
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
! [X0,X1] :
( nil != drop(s(X0),X1)
| nil = X1 ),
inference(superposition,[],[f12,f15]) ).
fof(f28,plain,
! [X2,X0,X1] :
( nil != drop(X0,X1)
| nil = cons(X2,X1) ),
inference(superposition,[],[f27,f14]) ).
fof(f31,plain,
! [X0,X1] : nil != drop(X0,X1),
inference(forward_subsumption_resolution,[],[f28,f17]) ).
fof(f33,plain,
nil != nil,
inference(superposition,[],[f31,f15]) ).
fof(f35,plain,
$false,
inference(trivial_inequality_removal,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWX186+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.30 % Computer : n001.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8046.5625MB
% 0.09/0.30 % OS : Linux 6.8.0-71-generic
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Sep 28 15:12:33 UTC 2026
% 0.28/0.31 % CPUTime :
% 0.28/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.37 Running first-order theorem proving
% 0.28/0.37 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.52/1.95 % (418294)Detected formulas, will run a generic FOF schedule.
% 5.52/1.95 % (418302)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=76471724:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.52/1.95 % (418302)Instruction limit reached!
% 5.52/1.95 % (418302)------------------------------
% 5.52/1.95 % (418302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.95 % (418302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.95 % (418302)CaDiCaL version: 2.1.3
% 5.52/1.95 % (418302)Termination reason: Instruction limit
% 5.52/1.95 % (418302)Termination phase: Saturation
% 5.52/1.95 % (418302)Time elapsed: 0.046 s
% 5.52/1.95 % (418302)Peak memory usage: 88 MB
% 5.52/1.95 % (418302)Instructions burned: 110 (million)
% 5.52/1.95 % (418299)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1845808660:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.52/1.95 % (418301)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3845228054:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.52/1.95 % (418300)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3455042230:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.52/1.95 % (418304)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1059459659:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.52/1.95 % (418303)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1684877524:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.52/1.95 % (418304)Refutation not found, incomplete strategy
% 5.52/1.95 % (418304)------------------------------
% 5.52/1.95 % (418304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.95 % (418304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.95 % (418304)CaDiCaL version: 2.1.3
% 5.52/1.95 % (418304)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.95 % (418304)Time elapsed: 0.002 s
% 5.52/1.95 % (418304)Peak memory usage: 88 MB
% 5.52/1.95 % (418304)Instructions burned: 1 (million)
% 5.52/1.95 % (418305)dis-21_1_sil=8000:lcm=predicate:random_seed=1069224209:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.52/1.95 % (418305)Refutation not found, incomplete strategy
% 5.52/1.95 % (418305)------------------------------
% 5.52/1.95 % (418305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.95 % (418305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.95 % (418305)CaDiCaL version: 2.1.3
% 5.52/1.95 % (418305)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.95 % (418305)Time elapsed: 0.002 s
% 5.52/1.95 % (418305)Peak memory usage: 88 MB
% 5.52/1.95 % (418303)Instruction limit reached!
% 5.52/1.95 % (418303)------------------------------
% 5.52/1.95 % (418303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.95 % (418303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.95 % (418303)CaDiCaL version: 2.1.3
% 5.52/1.95 % (418303)Termination reason: Instruction limit
% 5.52/1.95 % (418303)Termination phase: Saturation
% 5.52/1.95 % (418303)Time elapsed: 0.097 s
% 5.52/1.95 % (418303)Peak memory usage: 87 MB
% 5.52/1.95 % (418303)Instructions burned: 120 (million)
% 5.52/1.95 % (418307)lrs+10_1_sil=8000:sp=occurrence:random_seed=4214806032:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.52/1.95 % (418307)First to succeed.
% 5.52/1.95 % (418307)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-418294"
% 5.52/1.95 % (418314)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3573781750:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 5.52/1.95 % (418307)Refutation found. Thanks to Tanya!
% 5.52/1.95 % SZS status Theorem for theBenchmark
% 5.52/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 5.52/1.95 % (418307)------------------------------
% 5.52/1.95 % (418307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.95 % (418307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.95 % (418307)CaDiCaL version: 2.1.3
% 5.52/1.95 % (418307)Termination reason: Refutation
% 5.52/1.95 % (418307)Time elapsed: 0.002 s
% 5.52/1.95 % (418307)Peak memory usage: 88 MB
% 5.52/1.95 % (418307)Instructions burned: 1 (million)
% 5.52/1.95 % (418307)------------------------------
% 5.52/1.95 % (418307)------------------------------
% 5.52/1.95 % (418294)Success in time 0.636 s
% 5.52/1.95 % Vampire exiting
%------------------------------------------------------------------------------