%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 02:28:26 PM UTC 2026
% Result : Unsatisfiable 4.01s 1.33s
% Output : Refutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 5 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 132 ( 66 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X2,X0,X1] :
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X2,X0,X1] :
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1] :
( ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ le(s(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f6,axiom,
! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ eq(f(X1),a1)
| ~ le(s(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f8,plain,
! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ le(s(X1),X0)
| eq(f(X1),a0) ),
inference(resolution,[],[f6,f4]) ).
fof(f14,plain,
! [X0,X1] :
( eq(f(X0),a0)
| ~ le(s(X0),X1)
| eq(f(X1),a0) ),
inference(resolution,[],[f8,f4]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ eq(f(X2),a0)
| eq(f(X1),a0)
| ~ le(s(X0),X1)
| ~ le(s(X0),X2) ),
inference(resolution,[],[f14,f5]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( eq(f(X0),a0)
| ~ le(s(X1),X0)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| eq(f(X3),a0) ),
inference(resolution,[],[f18,f14]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X4] :
( ~ eq(f(X4),a0)
| ~ le(s(X0),X2)
| ~ le(s(X2),X3)
| eq(f(X3),a0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X4) ),
inference(resolution,[],[f21,f5]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ le(s(X5),X6)
| ~ le(s(X1),X2)
| eq(f(X2),a0)
| ~ le(s(X0),X3)
| ~ le(s(X3),X4)
| ~ le(s(X5),X4)
| ~ le(s(X0),X1)
| ~ le(s(X6),X7)
| eq(f(X7),a0) ),
inference(resolution,[],[f34,f21]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| eq(f(X2),a0)
| ~ le(s(X0),X3)
| ~ le(s(X3),X4)
| ~ le(s(X0),X4)
| ~ le(s(X1),X5)
| eq(f(X5),a0) ),
inference(factoring,[],[f49]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ le(s(X1),X5)
| ~ le(s(X1),X2)
| eq(f(X2),a0)
| ~ le(s(X0),X3)
| ~ le(s(X3),X4)
| ~ le(s(X0),X4)
| ~ le(s(X0),X1) ),
inference(forward_subsumption_resolution,[],[f132,f18]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X4] :
( ~ le(s(X2),X0)
| eq(f(X1),a0)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X2),X4)
| ~ le(s(X0),X1) ),
inference(resolution,[],[f135,f1]) ).
fof(f520,plain,
! [X2,X3,X0,X1] :
( ~ le(s(s(X1)),X0)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X1),X3)
| eq(f(X0),a0) ),
inference(resolution,[],[f247,f1]) ).
fof(f1135,plain,
! [X0,X1] :
( ~ le(s(s(X0)),X1)
| ~ le(s(X0),s(X0))
| ~ le(s(X0),X1)
| eq(f(X1),a0) ),
inference(factoring,[],[f520]) ).
fof(f1136,plain,
! [X0,X1] :
( ~ le(s(s(X0)),X1)
| ~ le(s(X0),X1)
| eq(f(X1),a0) ),
inference(forward_subsumption_resolution,[],[f1135,f1]) ).
fof(f1138,plain,
! [X2,X0,X1] :
( ~ le(s(X0),X1)
| eq(f(X1),a0)
| ~ le(max(X2,s(s(X0))),X1) ),
inference(resolution,[],[f1136,f3]) ).
fof(f1160,plain,
! [X2,X3,X0,X1] :
( ~ le(max(s(X2),X3),X0)
| ~ le(max(X1,s(s(X2))),X0)
| eq(f(X0),a0) ),
inference(resolution,[],[f1138,f2]) ).
fof(f1206,plain,
! [X0,X1] :
( ~ le(max(s(X0),s(s(X0))),X1)
| eq(f(X1),a0) ),
inference(factoring,[],[f1160]) ).
fof(f1211,plain,
! [X0] : eq(f(max(s(X0),s(s(X0)))),a0),
inference(resolution,[],[f1206,f1]) ).
fof(f1213,plain,
! [X2,X0,X1] :
( ~ le(max(max(s(X1),s(s(X1))),X2),X0)
| eq(f(X0),a0) ),
inference(resolution,[],[f1206,f2]) ).
fof(f1222,plain,
! [X0,X1] :
( ~ le(s(max(s(X1),s(s(X1)))),X0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f1211,f5]) ).
fof(f1228,plain,
! [X2,X0,X1] :
( ~ le(max(X1,s(max(s(X2),s(s(X2))))),X0)
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f1222,f3]) ).
fof(f1258,plain,
! [X0,X1] : eq(f(max(max(s(X0),s(s(X0))),X1)),a0),
inference(resolution,[],[f1213,f1]) ).
fof(f1286,plain,
! [X0,X1] : ~ eq(f(max(X0,s(max(s(X1),s(s(X1)))))),a0),
inference(resolution,[],[f1228,f1]) ).
fof(f1297,plain,
$false,
inference(resolution,[],[f1286,f1258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 17:51:41 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 4.01/1.33 % (3826766)Input is clausal, will run a generic CNF schedule.
% 4.01/1.33 % (3826775)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1501067582:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.01/1.33 % (3826775)Refutation not found, incomplete strategy
% 4.01/1.33 % (3826775)------------------------------
% 4.01/1.33 % (3826775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.33 % (3826775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.33 % (3826775)CaDiCaL version: 2.1.3
% 4.01/1.33 % (3826775)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.33 % (3826775)Time elapsed: 0.0000 s
% 4.01/1.33 % (3826775)Peak memory usage: 86 MB
% 4.01/1.33 % (3826773)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1587130869:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.01/1.33 % (3826772)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2912091984:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.01/1.33 % (3826774)lrs+10_1_sil=8000:sp=occurrence:random_seed=986904861:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.01/1.33 % (3826771)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=318085641:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.01/1.33 % (3826774)Refutation not found, incomplete strategy
% 4.01/1.33 % (3826774)------------------------------
% 4.01/1.33 % (3826774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.33 % (3826774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.33 % (3826774)CaDiCaL version: 2.1.3
% 4.01/1.33 % (3826774)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.33 % (3826774)Time elapsed: 0.0000 s
% 4.01/1.33 % (3826774)Peak memory usage: 86 MB
% 4.01/1.33 % (3826777)dis-21_1_sil=8000:lcm=predicate:random_seed=2538154617: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)
% 4.01/1.33 % (3826776)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2275073601:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.01/1.33 % (3826777)Instruction limit reached!
% 4.01/1.33 % (3826777)------------------------------
% 4.01/1.33 % (3826777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.33 % (3826777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.33 % (3826777)CaDiCaL version: 2.1.3
% 4.01/1.33 % (3826777)Termination reason: Instruction limit
% 4.01/1.33 % (3826777)Termination phase: Saturation
% 4.01/1.33 % (3826777)Time elapsed: 0.051 s
% 4.01/1.33 % (3826777)Peak memory usage: 87 MB
% 4.01/1.33 % (3826777)Instructions burned: 118 (million)
% 4.01/1.33 % (3826776)First to succeed.
% 4.01/1.33 % (3826776)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3826766"
% 4.01/1.33 % (3826775)------------------------------
% 4.01/1.33 % (3826775)------------------------------
% 4.01/1.33 % (3826785)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=651892514:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.01/1.33 % (3826785)Refutation not found, incomplete strategy
% 4.01/1.33 % (3826785)------------------------------
% 4.01/1.33 % (3826785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.33 % (3826785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.33 % (3826785)CaDiCaL version: 2.1.3
% 4.01/1.33 % (3826785)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.33 % (3826785)Time elapsed: 0.001 s
% 4.01/1.33 % (3826785)Peak memory usage: 86 MB
% 4.01/1.33 % (3826786)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2905490702: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)
% 4.01/1.33 % (3826786)Refutation not found, incomplete strategy
% 4.01/1.33 % (3826786)------------------------------
% 4.01/1.33 % (3826786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.33 % (3826786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.33 % (3826786)CaDiCaL version: 2.1.3
% 4.01/1.33 % (3826786)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.33 % (3826786)Time elapsed: 0.0000 s
% 4.01/1.33 % (3826786)Peak memory usage: 86 MB
% 4.01/1.33 % (3826774)------------------------------
% 4.01/1.33 % (3826774)------------------------------
% 4.01/1.33 % (3826776)Refutation found. Thanks to Tanya!
% 4.01/1.33 % SZS status Unsatisfiable for theBenchmark
% 4.01/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 4.01/1.33 % (3826776)------------------------------
% 4.01/1.33 % (3826776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.33 % (3826776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.33 % (3826776)CaDiCaL version: 2.1.3
% 4.01/1.33 % (3826776)Termination reason: Refutation
% 4.01/1.33 % (3826776)Time elapsed: 0.053 s
% 4.01/1.33 % (3826776)Peak memory usage: 88 MB
% 4.01/1.33 % (3826776)Instructions burned: 90 (million)
% 4.01/1.33 % (3826776)------------------------------
% 4.01/1.33 % (3826776)------------------------------
% 4.01/1.33 % (3826766)Success in time 0.483 s
% 4.01/1.33 % Vampire exiting
%------------------------------------------------------------------------------