%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN644-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 02:01:09 PM UTC 2026
% Result : Unsatisfiable 4.81s 1.35s
% Output : Refutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_1) ).
fof(f7,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_7) ).
fof(f9,negated_conjecture,
p24(f17(f10(c29,f11(c27,c30)),c28)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f17_is_p24_9) ).
fof(f10,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_10) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( p12(X0,X1)
| ~ p12(X2,X0)
| ~ p12(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_17) ).
fof(f23,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_23) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( p25(X0,X1)
| ~ p12(X2,X1)
| ~ p25(X3,X2)
| ~ p12(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_25) ).
fof(f33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_33) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( p25(f13(f14(X0,f16(f10(X1,f11(X2,X3)),c32,X0))),f13(f14(X0,X4)))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p23(X4,f8(f10(X1,f11(X2,X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_37) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p24(f17(f10(X1,f11(X2,X3)),X0))
| ~ p23(X0,f8(f10(X1,f11(X2,X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_39) ).
fof(f40,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0))))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p24(f17(f10(X1,f11(X2,X3)),X0))
| ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_40) ).
fof(f69,plain,
p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
inference(unit_resulting_resolution,[],[f17,f1,f33]) ).
fof(f158,plain,
p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
inference(unit_resulting_resolution,[],[f39,f7,f10,f9,f23]) ).
fof(f159,plain,
! [X0] : p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28)))),
inference(unit_resulting_resolution,[],[f37,f7,f158]) ).
fof(f161,plain,
~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(unit_resulting_resolution,[],[f40,f9,f10,f23,f7]) ).
fof(f165,plain,
~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(unit_resulting_resolution,[],[f25,f69,f1,f161]) ).
fof(f166,plain,
$false,
inference(forward_subsumption_resolution,[],[f165,f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN644-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:39:16 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.81/1.35 % (3206334)Input is clausal, will run a generic CNF schedule.
% 4.81/1.35 % (3206343)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2215593377:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.81/1.35 % (3206343)Instruction limit reached!
% 4.81/1.35 % (3206343)------------------------------
% 4.81/1.35 % (3206343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206343)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206343)Termination reason: Instruction limit
% 4.81/1.35 % (3206343)Termination phase: Saturation
% 4.81/1.35 % (3206343)Time elapsed: 0.037 s
% 4.81/1.35 % (3206343)Peak memory usage: 88 MB
% 4.81/1.35 % (3206343)Instructions burned: 115 (million)
% 4.81/1.35 % (3206344)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2506950679:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.81/1.35 % (3206340)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2802102279:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.81/1.35 % (3206342)lrs+10_1_sil=8000:sp=occurrence:random_seed=1430529073:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.81/1.35 % (3206339)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=1960791301:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.81/1.35 % (3206341)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4167748049:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.81/1.35 % (3206345)dis-21_1_sil=8000:lcm=predicate:random_seed=1894659575: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)
% 4.81/1.35 % (3206342)Instruction limit reached!
% 4.81/1.35 % (3206342)------------------------------
% 4.81/1.35 % (3206342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206342)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206342)Termination reason: Instruction limit
% 4.81/1.35 % (3206342)Termination phase: Saturation
% 4.81/1.35 % (3206342)Time elapsed: 0.063 s
% 4.81/1.35 % (3206342)Peak memory usage: 88 MB
% 4.81/1.35 % (3206342)Instructions burned: 108 (million)
% 4.81/1.35 % (3206345)Instruction limit reached!
% 4.81/1.35 % (3206345)------------------------------
% 4.81/1.35 % (3206345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206345)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206345)Termination reason: Instruction limit
% 4.81/1.35 % (3206345)Termination phase: Saturation
% 4.81/1.35 % (3206345)Time elapsed: 0.070 s
% 4.81/1.35 % (3206345)Peak memory usage: 88 MB
% 4.81/1.35 % (3206345)Instructions burned: 119 (million)
% 4.81/1.35 % (3206353)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=3179601609:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.81/1.35 % (3206344)Instruction limit reached!
% 4.81/1.35 % (3206344)------------------------------
% 4.81/1.35 % (3206344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206344)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206344)Termination reason: Instruction limit
% 4.81/1.35 % (3206344)Termination phase: Saturation
% 4.81/1.35 % (3206344)Time elapsed: 0.119 s
% 4.81/1.35 % (3206344)Peak memory usage: 89 MB
% 4.81/1.35 % (3206344)Instructions burned: 181 (million)
% 4.81/1.35 % (3206353)Instruction limit reached!
% 4.81/1.35 % (3206353)------------------------------
% 4.81/1.35 % (3206353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206353)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206353)Termination reason: Instruction limit
% 4.81/1.35 % (3206353)Termination phase: Saturation
% 4.81/1.35 % (3206353)Time elapsed: 0.047 s
% 4.81/1.35 % (3206353)Peak memory usage: 88 MB
% 4.81/1.35 % (3206353)Instructions burned: 143 (million)
% 4.81/1.35 % (3206355)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=517822575:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.81/1.35 % (3206354)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=386218150: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)
% 4.81/1.35 % (3206354)First to succeed.
% 4.81/1.35 % (3206354)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3206334"
% 4.81/1.35 % (3206358)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3420002967:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 4.81/1.35 % (3206357)lrs+10_64_to=lpo:sil=8000:random_seed=2636129463:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.81/1.35 % (3206358)Instruction limit reached!
% 4.81/1.35 % (3206358)------------------------------
% 4.81/1.35 % (3206358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206358)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206358)Termination reason: Instruction limit
% 4.81/1.35 % (3206358)Termination phase: Saturation
% 4.81/1.35 % (3206358)Time elapsed: 0.061 s
% 4.81/1.35 % (3206358)Peak memory usage: 88 MB
% 4.81/1.35 % (3206358)Instructions burned: 196 (million)
% 4.81/1.35 % (3206357)Instruction limit reached!
% 4.81/1.35 % (3206357)------------------------------
% 4.81/1.35 % (3206357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206357)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206357)Termination reason: Instruction limit
% 4.81/1.35 % (3206357)Termination phase: Saturation
% 4.81/1.35 % (3206357)Time elapsed: 0.065 s
% 4.81/1.35 % (3206357)Peak memory usage: 89 MB
% 4.81/1.35 % (3206357)Instructions burned: 127 (million)
% 4.81/1.35 % (3206355)Instruction limit reached!
% 4.81/1.35 % (3206355)------------------------------
% 4.81/1.35 % (3206355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206355)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206355)Termination reason: Instruction limit
% 4.81/1.35 % (3206355)Termination phase: Saturation
% 4.81/1.35 % (3206355)Time elapsed: 0.127 s
% 4.81/1.35 % (3206355)Peak memory usage: 89 MB
% 4.81/1.35 % (3206355)Instructions burned: 220 (million)
% 4.81/1.35 % (3206363)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3488056458:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.81/1.35 % (3206363)Instruction limit reached!
% 4.81/1.35 % (3206363)------------------------------
% 4.81/1.35 % (3206363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206363)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206363)Termination reason: Instruction limit
% 4.81/1.35 % (3206363)Termination phase: Saturation
% 4.81/1.35 % (3206363)Time elapsed: 0.060 s
% 4.81/1.35 % (3206363)Peak memory usage: 90 MB
% 4.81/1.35 % (3206363)Instructions burned: 158 (million)
% 4.81/1.35 % (3206364)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=563145443:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.81/1.35 % (3206365)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1310404177:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.81/1.35 % (3206354)Refutation found. Thanks to Tanya!
% 4.81/1.35 % SZS status Unsatisfiable for theBenchmark
% 4.81/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 4.81/1.35 % (3206354)------------------------------
% 4.81/1.35 % (3206354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.35 % (3206354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.35 % (3206354)CaDiCaL version: 2.1.3
% 4.81/1.35 % (3206354)Termination reason: Refutation
% 4.81/1.35 % (3206354)Time elapsed: 0.006 s
% 4.81/1.35 % (3206354)Peak memory usage: 88 MB
% 4.81/1.35 % (3206354)Instructions burned: 9 (million)
% 4.81/1.35 % (3206354)------------------------------
% 4.81/1.35 % (3206354)------------------------------
% 4.81/1.35 % (3206334)Success in time 0.607 s
% 4.81/1.35 % Vampire exiting
%------------------------------------------------------------------------------