%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET023-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:39:38 PM UTC 2026
% Result : Unsatisfiable 3.55s 1.48s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 29 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( little_set(f2(X0))
| ~ ordered_pair_predicate(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_predicate1) ).
fof(f12,axiom,
! [X0] :
( little_set(f3(X0))
| ~ ordered_pair_predicate(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_predicate2) ).
fof(f13,axiom,
! [X0] :
( ~ ordered_pair_predicate(X0)
| X0 = ordered_pair(f2(X0),f3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_predicate3) ).
fof(f14,plain,
! [X0] :
( ordered_pair(f2(X0),f3(X0)) = X0
| ~ ordered_pair_predicate(X0) ),
inference(reorient_equations,[],[f13]) ).
fof(f168,axiom,
! [X0,X1] :
( second(ordered_pair(X0,X1)) = X1
| ~ little_set(X1)
| ~ little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_second) ).
fof(f170,axiom,
ordered_pair_predicate(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_ordered_pair_predicate) ).
fof(f171,negated_conjecture,
~ little_set(second(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_second_component_is_small) ).
fof(f302,plain,
! [X0] :
( f3(X0) = second(X0)
| ~ little_set(f3(X0))
| ~ little_set(f2(X0))
| ~ ordered_pair_predicate(X0) ),
inference(superposition,[],[f168,f14]) ).
fof(f306,plain,
! [X0] :
( f3(X0) = second(X0)
| ~ little_set(f2(X0))
| ~ ordered_pair_predicate(X0) ),
inference(forward_subsumption_resolution,[],[f302,f12]) ).
fof(f310,plain,
! [X0] :
( f3(X0) = second(X0)
| ~ ordered_pair_predicate(X0) ),
inference(forward_subsumption_resolution,[],[f306,f11]) ).
fof(f336,plain,
! [X0] :
( little_set(second(X0))
| ~ ordered_pair_predicate(X0)
| ~ ordered_pair_predicate(X0) ),
inference(superposition,[],[f12,f310]) ).
fof(f337,plain,
! [X0] :
( little_set(second(X0))
| ~ ordered_pair_predicate(X0) ),
inference(duplicate_literal_removal,[],[f336]) ).
fof(f343,plain,
~ ordered_pair_predicate(a),
inference(resolution,[],[f337,f171]) ).
fof(f349,plain,
$false,
inference(forward_subsumption_resolution,[],[f343,f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET023-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 00:15:18 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.55/1.48 % (3143906)Input is clausal, will run a generic CNF schedule.
% 3.55/1.48 % (3143915)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=183965385:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.55/1.48 % (3143915)Refutation not found, incomplete strategy
% 3.55/1.48 % (3143915)------------------------------
% 3.55/1.48 % (3143915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.48 % (3143915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.48 % (3143915)CaDiCaL version: 2.1.3
% 3.55/1.48 % (3143915)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.48 % (3143915)Time elapsed: 0.001 s
% 3.55/1.48 % (3143915)Peak memory usage: 88 MB
% 3.55/1.48 % (3143915)Instructions burned: 1 (million)
% 3.55/1.48 % (3143913)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3524538314:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.55/1.48 % (3143911)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=2942341426:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.55/1.48 % (3143912)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1893035725:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.55/1.48 % (3143914)lrs+10_1_sil=8000:sp=occurrence:random_seed=3712422467:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.55/1.48 % (3143916)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3435720259:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.55/1.48 % (3143914)Refutation not found, incomplete strategy
% 3.55/1.48 % (3143914)------------------------------
% 3.55/1.48 % (3143914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.48 % (3143914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.48 % (3143914)CaDiCaL version: 2.1.3
% 3.55/1.48 % (3143914)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.48 % (3143914)Time elapsed: 0.001 s
% 3.55/1.48 % (3143914)Peak memory usage: 88 MB
% 3.55/1.48 % (3143917)dis-21_1_sil=8000:lcm=predicate:random_seed=3469327384:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.55/1.48 % (3143916)First to succeed.
% 3.55/1.48 % (3143916)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3143906"
% 3.55/1.48 % (3143917)Instruction limit reached!
% 3.55/1.48 % (3143917)------------------------------
% 3.55/1.48 % (3143917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.48 % (3143917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.48 % (3143917)CaDiCaL version: 2.1.3
% 3.55/1.48 % (3143917)Termination reason: Instruction limit
% 3.55/1.48 % (3143917)Termination phase: Saturation
% 3.55/1.48 % (3143917)Time elapsed: 0.072 s
% 3.55/1.48 % (3143917)Peak memory usage: 89 MB
% 3.55/1.48 % (3143917)Instructions burned: 117 (million)
% 3.55/1.48 % (3143915)------------------------------
% 3.55/1.48 % (3143915)------------------------------
% 3.55/1.48 % (3143926)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2505407587:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.55/1.48 % (3143926)Also succeeded, but the first one will report.
% 3.55/1.48 % (3143925)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1862104769:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.55/1.48 % (3143925)Refutation not found, incomplete strategy
% 3.55/1.48 % (3143925)------------------------------
% 3.55/1.48 % (3143925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.48 % (3143925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.48 % (3143925)CaDiCaL version: 2.1.3
% 3.55/1.48 % (3143925)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.48 % (3143925)Time elapsed: 0.001 s
% 3.55/1.48 % (3143925)Peak memory usage: 88 MB
% 3.55/1.48 % (3143914)------------------------------
% 3.55/1.48 % (3143914)------------------------------
% 3.55/1.48 % (3143916)Refutation found. Thanks to Tanya!
% 3.55/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.55/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.48 % (3143916)------------------------------
% 3.55/1.48 % (3143916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.48 % (3143916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.48 % (3143916)CaDiCaL version: 2.1.3
% 3.55/1.48 % (3143916)Termination reason: Refutation
% 3.55/1.48 % (3143916)Time elapsed: 0.011 s
% 3.55/1.48 % (3143916)Peak memory usage: 89 MB
% 3.55/1.48 % (3143916)Instructions burned: 13 (million)
% 3.55/1.48 % (3143916)------------------------------
% 3.55/1.48 % (3143916)------------------------------
% 3.55/1.48 % (3143906)Success in time 0.42 s
% 3.55/1.48 % Vampire exiting
%------------------------------------------------------------------------------