%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR106+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:43:06 AM UTC 2026
% Result : Theorem 11.62s 3.99s
% Output : Refutation 11.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27726,axiom,
! [X0] :
( s__instance(X0,s__TimePoint)
=> ~ s__before(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27908) ).
fof(f55590,axiom,
s__instance(s__TimePoint37_1,s__TimePoint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_4) ).
fof(f55594,conjecture,
? [X0,X1] : ~ s__before(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).
fof(f55595,negated_conjecture,
~ ? [X0,X1] : ~ s__before(X0,X1),
inference(negated_conjecture,[status(cth)],[f55594]) ).
fof(f55596,plain,
! [X0,X1] : s__before(X0,X1),
inference(ennf_transformation,[],[f55595]) ).
fof(f55627,plain,
! [X0] :
( ~ s__before(X0,X0)
| ~ s__instance(X0,s__TimePoint) ),
inference(ennf_transformation,[],[f27726]) ).
fof(f55703,plain,
s__instance(s__TimePoint37_1,s__TimePoint),
inference(cnf_transformation,[],[f55590]) ).
fof(f55707,plain,
! [X0,X1] : s__before(X0,X1),
inference(cnf_transformation,[],[f55596]) ).
fof(f55730,plain,
! [X0] :
( ~ s__before(X0,X0)
| ~ s__instance(X0,s__TimePoint) ),
inference(cnf_transformation,[],[f55627]) ).
fof(f55810,plain,
$false,
inference(unit_resulting_resolution,[],[f55730,f55703,f55707]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR106+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.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 22:59:09 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 11.62/3.99 % (2270140)Detected formulas, will run a generic FOF schedule.
% 11.62/3.99 % (2270146)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=2334997666:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 11.62/3.99 % (2270148)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4041134555:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 11.62/3.99 % (2270145)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=1315918578:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 11.62/3.99 % (2270147)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=1973210499:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 11.62/3.99 % (2270150)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2069477529:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 11.62/3.99 % (2270151)dis-21_1_sil=8000:lcm=predicate:random_seed=953662999:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 11.62/3.99 % (2270149)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2573939648:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 11.62/3.99 % (2270148)Instruction limit reached!
% 11.62/3.99 % (2270148)------------------------------
% 11.62/3.99 % (2270148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270148)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270148)Termination reason: Instruction limit
% 11.62/3.99 % (2270148)Termination phase: SInE selection
% 11.62/3.99 % (2270148)Time elapsed: 0.066 s
% 11.62/3.99 % (2270148)Peak memory usage: 138 MB
% 11.62/3.99 % (2270148)Instructions burned: 110 (million)
% 11.62/3.99 % (2270149)Instruction limit reached!
% 11.62/3.99 % (2270149)------------------------------
% 11.62/3.99 % (2270149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270149)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270149)Termination reason: Instruction limit
% 11.62/3.99 % (2270149)Termination phase: SInE selection
% 11.62/3.99 % (2270149)Time elapsed: 0.074 s
% 11.62/3.99 % (2270149)Peak memory usage: 139 MB
% 11.62/3.99 % (2270149)Instructions burned: 120 (million)
% 11.62/3.99 % (2270150)Instruction limit reached!
% 11.62/3.99 % (2270150)------------------------------
% 11.62/3.99 % (2270150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270150)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270150)Termination reason: Instruction limit
% 11.62/3.99 % (2270150)Termination phase: Property scanning
% 11.62/3.99 % (2270150)Time elapsed: 0.076 s
% 11.62/3.99 % (2270150)Peak memory usage: 138 MB
% 11.62/3.99 % (2270150)Instructions burned: 141 (million)
% 11.62/3.99 % (2270151)Instruction limit reached!
% 11.62/3.99 % (2270151)------------------------------
% 11.62/3.99 % (2270151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270151)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270151)Termination reason: Instruction limit
% 11.62/3.99 % (2270151)Termination phase: SInE selection
% 11.62/3.99 % (2270151)Time elapsed: 0.078 s
% 11.62/3.99 % (2270151)Peak memory usage: 139 MB
% 11.62/3.99 % (2270151)Instructions burned: 130 (million)
% 11.62/3.99 % (2270159)lrs+10_1_sil=8000:sp=occurrence:random_seed=55365712:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 11.62/3.99 % (2270160)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2768364357:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/157Mi)
% 11.62/3.99 % (2270162)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1306364205:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 11.62/3.99 % (2270161)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2170290574:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 11.62/3.99 % (2270160)Instruction limit reached!
% 11.62/3.99 % (2270160)------------------------------
% 11.62/3.99 % (2270160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270160)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270160)Termination reason: Instruction limit
% 11.62/3.99 % (2270160)Termination phase: Property scanning
% 11.62/3.99 % (2270160)Time elapsed: 0.083 s
% 11.62/3.99 % (2270160)Peak memory usage: 137 MB
% 11.62/3.99 % (2270160)Instructions burned: 157 (million)
% 11.62/3.99 % (2270159)Refutation not found, incomplete strategy
% 11.62/3.99 % (2270159)------------------------------
% 11.62/3.99 % (2270159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270159)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270159)Termination reason: Refutation not found, incomplete strategy
% 11.62/3.99 % (2270159)Time elapsed: 0.152 s
% 11.62/3.99 % (2270159)Peak memory usage: 144 MB
% 11.62/3.99 % (2270159)Instructions burned: 204 (million)
% 11.62/3.99 % (2270162)Instruction limit reached!
% 11.62/3.99 % (2270162)------------------------------
% 11.62/3.99 % (2270162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270162)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270162)Termination reason: Instruction limit
% 11.62/3.99 % (2270162)Termination phase: Property scanning
% 11.62/3.99 % (2270162)Time elapsed: 0.123 s
% 11.62/3.99 % (2270162)Peak memory usage: 138 MB
% 11.62/3.99 % (2270162)Instructions burned: 250 (million)
% 11.62/3.99 % (2270161)Refutation not found, incomplete strategy
% 11.62/3.99 % (2270161)------------------------------
% 11.62/3.99 % (2270161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270161)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270161)Termination reason: Refutation not found, incomplete strategy
% 11.62/3.99 % (2270161)Time elapsed: 0.156 s
% 11.62/3.99 % (2270161)Peak memory usage: 143 MB
% 11.62/3.99 % (2270161)Instructions burned: 201 (million)
% 11.62/3.99 % (2270167)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4063584669:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 11.62/3.99 % (2270168)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3191904020:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 11.62/3.99 % (2270159)------------------------------
% 11.62/3.99 % (2270159)------------------------------
% 11.62/3.99 % (2270161)------------------------------
% 11.62/3.99 % (2270161)------------------------------
% 11.62/3.99 % (2270167)Instruction limit reached!
% 11.62/3.99 % (2270167)------------------------------
% 11.62/3.99 % (2270167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270167)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270167)Termination reason: Instruction limit
% 11.62/3.99 % (2270167)Termination phase: Property scanning
% 11.62/3.99 % (2270167)Time elapsed: 0.203 s
% 11.62/3.99 % (2270167)Peak memory usage: 142 MB
% 11.62/3.99 % (2270167)Instructions burned: 295 (million)
% 11.62/3.99 % (2270171)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2232492142:cts=off:i=113:fsr=off:ss=included:sgt=4_2974 on theBenchmark for (2974ds/113Mi)
% 11.62/3.99 % (2270171)Instruction limit reached!
% 11.62/3.99 % (2270171)------------------------------
% 11.62/3.99 % (2270171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270171)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270171)Termination reason: Instruction limit
% 11.62/3.99 % (2270171)Termination phase: SInE selection
% 11.62/3.99 % (2270171)Time elapsed: 0.071 s
% 11.62/3.99 % (2270171)Peak memory usage: 139 MB
% 11.62/3.99 % (2270171)Instructions burned: 114 (million)
% 11.62/3.99 % (2270172)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=996998229:i=127:av=off:fsr=off:sup=off_2973 on theBenchmark for (2973ds/127Mi)
% 11.62/3.99 % (2270173)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2489642775:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2973 on theBenchmark for (2973ds/114Mi)
% 11.62/3.99 % (2270146)First to succeed.
% 11.62/3.99 % (2270146)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2270140"
% 11.62/3.99 % (2270173)Instruction limit reached!
% 11.62/3.99 % (2270173)------------------------------
% 11.62/3.99 % (2270173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270173)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270173)Termination reason: Instruction limit
% 11.62/3.99 % (2270173)Termination phase: Property scanning
% 11.62/3.99 % (2270173)Time elapsed: 0.067 s
% 11.62/3.99 % (2270173)Peak memory usage: 138 MB
% 11.62/3.99 % (2270173)Instructions burned: 116 (million)
% 11.62/3.99 % (2270172)Instruction limit reached!
% 11.62/3.99 % (2270172)------------------------------
% 11.62/3.99 % (2270172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270172)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270172)Termination reason: Instruction limit
% 11.62/3.99 % (2270172)Termination phase: Preprocessing 1
% 11.62/3.99 % (2270172)Time elapsed: 0.089 s
% 11.62/3.99 % (2270172)Peak memory usage: 138 MB
% 11.62/3.99 % (2270172)Instructions burned: 127 (million)
% 11.62/3.99 % (2270175)lrs+10_1_sil=8000:sp=occurrence:random_seed=3230240921:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 11.62/3.99 % (2270146)Refutation found. Thanks to Tanya!
% 11.62/3.99 % SZS status Theorem for theBenchmark
% 11.62/3.99 % SZS output start Proof for theBenchmark
% See solution above
% 11.62/3.99 % (2270146)------------------------------
% 11.62/3.99 % (2270146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.99 % (2270146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.99 % (2270146)CaDiCaL version: 2.1.3
% 11.62/3.99 % (2270146)Termination reason: Refutation
% 11.62/3.99 % (2270146)Time elapsed: 0.977 s
% 11.62/3.99 % (2270146)Peak memory usage: 278 MB
% 11.62/3.99 % (2270146)Instructions burned: 2248 (million)
% 11.62/3.99 % (2270146)------------------------------
% 11.62/3.99 % (2270146)------------------------------
% 11.62/3.99 % (2270140)Success in time 3.069 s
% 11.62/3.99 % Vampire exiting
%------------------------------------------------------------------------------