%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL088-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:37:54 AM UTC 2026
% Result : Unsatisfiable 2.40s 0.89s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 26 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,axiom,
! [X0,X1] :
( member(comb_app(X0,X1),comb)
| ~ member(X1,comb)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',comb_intros3) ).
fof(f168,axiom,
! [X0] :
( member(pair(X0,X0),rtrancl(contract))
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_refl) ).
fof(f193,axiom,
! [X2,X3,X0,X1] :
( ~ trans(X0)
| ~ member(pair(X1,X2),X0)
| ~ member(pair(X2,X3),X0)
| member(pair(X1,X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).
fof(f194,axiom,
! [X0] : trans(rtrancl(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_rtrancl) ).
fof(f195,axiom,
! [X0,X1] :
( ~ member(pair(X0,X1),contract)
| member(X1,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contract_combD2) ).
fof(f198,axiom,
! [X2,X3,X0,X1] :
( member(pair(comb_app(X0,X2),X3),rtrancl(contract))
| ~ member(X2,comb)
| ~ member(pair(comb_app(X1,X2),X3),rtrancl(contract))
| ~ member(pair(X0,X1),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_rls_3) ).
fof(f200,axiom,
member(r,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h1) ).
fof(f203,axiom,
member(pair(y,z),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h4) ).
fof(f204,axiom,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h5) ).
fof(f205,negated_conjecture,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2c1) ).
fof(f216,plain,
member(z,comb),
inference(resolution,[],[f195,f203]) ).
fof(f250,plain,
! [X2,X3,X0,X1] :
( member(pair(X0,X3),rtrancl(X2))
| ~ member(pair(X1,X3),rtrancl(X2))
| ~ member(pair(X0,X1),rtrancl(X2)) ),
inference(resolution,[],[f193,f194]) ).
fof(f566,plain,
! [X0] :
( ~ member(pair(comb_app(p,r),X0),rtrancl(contract))
| ~ member(pair(X0,comb_app(z,r)),rtrancl(contract)) ),
inference(resolution,[],[f250,f205]) ).
fof(f570,plain,
~ member(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract)),
inference(resolution,[],[f566,f204]) ).
fof(f580,plain,
! [X0] :
( ~ member(r,comb)
| ~ member(pair(comb_app(X0,r),comb_app(z,r)),rtrancl(contract))
| ~ member(pair(y,X0),contract) ),
inference(resolution,[],[f570,f198]) ).
fof(f582,plain,
! [X0] :
( ~ member(pair(y,X0),contract)
| ~ member(pair(comb_app(X0,r),comb_app(z,r)),rtrancl(contract)) ),
inference(forward_subsumption_resolution,[],[f580,f200]) ).
fof(f601,plain,
~ member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract)),
inference(resolution,[],[f582,f203]) ).
fof(f668,plain,
~ member(comb_app(z,r),comb),
inference(resolution,[],[f601,f168]) ).
fof(f738,plain,
( ~ member(r,comb)
| ~ member(z,comb) ),
inference(resolution,[],[f668,f167]) ).
fof(f739,plain,
~ member(z,comb),
inference(forward_subsumption_resolution,[],[f738,f200]) ).
fof(f740,plain,
$false,
inference(forward_subsumption_resolution,[],[f739,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL088-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n013.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 21:34:36 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 Running first-order theorem proving
% 0.11/0.20 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
% 2.40/0.89 % (1608327)Input is clausal, will run a generic CNF schedule.
% 2.40/0.89 % (1608337)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3191421032:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.40/0.89 % (1608337)First to succeed.
% 2.40/0.89 % (1608337)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1608327"
% 2.40/0.89 % (1608333)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1470560564:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.40/0.89 % (1608332)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=708506258:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.40/0.89 % (1608334)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4024683213:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.40/0.89 % (1608335)lrs+10_1_sil=8000:sp=occurrence:random_seed=2229645103:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.40/0.89 % (1608336)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3910746592:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.40/0.89 % (1608338)dis-21_1_sil=8000:lcm=predicate:random_seed=640135471: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)
% 2.40/0.89 % (1608335)Refutation not found, incomplete strategy
% 2.40/0.89 % (1608335)------------------------------
% 2.40/0.89 % (1608335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.89 % (1608335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.89 % (1608335)CaDiCaL version: 2.1.3
% 2.40/0.89 % (1608335)Termination reason: Refutation not found, incomplete strategy
% 2.40/0.89 % (1608335)Time elapsed: 0.007 s
% 2.40/0.89 % (1608335)Peak memory usage: 88 MB
% 2.40/0.89 % (1608335)Instructions burned: 8 (million)
% 2.40/0.89 % (1608336)Instruction limit reached!
% 2.40/0.89 % (1608336)------------------------------
% 2.40/0.89 % (1608336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.89 % (1608336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.89 % (1608336)CaDiCaL version: 2.1.3
% 2.40/0.89 % (1608336)Termination reason: Instruction limit
% 2.40/0.89 % (1608336)Termination phase: Saturation
% 2.40/0.89 % (1608336)Time elapsed: 0.073 s
% 2.40/0.89 % (1608336)Peak memory usage: 89 MB
% 2.40/0.89 % (1608336)Instructions burned: 114 (million)
% 2.40/0.89 % (1608338)Instruction limit reached!
% 2.40/0.89 % (1608338)------------------------------
% 2.40/0.89 % (1608338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.89 % (1608338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.89 % (1608338)CaDiCaL version: 2.1.3
% 2.40/0.89 % (1608338)Termination reason: Instruction limit
% 2.40/0.89 % (1608338)Termination phase: Saturation
% 2.40/0.89 % (1608338)Time elapsed: 0.079 s
% 2.40/0.89 % (1608338)Peak memory usage: 89 MB
% 2.40/0.89 % (1608338)Instructions burned: 119 (million)
% 2.40/0.89 % (1608337)Refutation found. Thanks to Tanya!
% 2.40/0.89 % SZS status Unsatisfiable for theBenchmark
% 2.40/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.40/0.89 % (1608337)------------------------------
% 2.40/0.89 % (1608337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/0.89 % (1608337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.89 % (1608337)CaDiCaL version: 2.1.3
% 2.40/0.89 % (1608337)Termination reason: Refutation
% 2.40/0.89 % (1608337)Time elapsed: 0.014 s
% 2.40/0.89 % (1608337)Peak memory usage: 89 MB
% 2.40/0.89 % (1608337)Instructions burned: 37 (million)
% 2.40/0.89 % (1608337)------------------------------
% 2.40/0.89 % (1608337)------------------------------
% 2.40/0.89 % (1608327)Success in time 0.29 s
% 2.40/0.89 % Vampire exiting
%------------------------------------------------------------------------------