%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX207+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:46:10 PM UTC 2026
% Result : Theorem 0.21s 1.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 23 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
pB != pE,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(f18,axiom,
! [X0,X1] : proj2C(c2(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_018) ).
fof(f19,axiom,
! [X0] : append(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).
fof(f20,axiom,
! [X0,X1,X2] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_020) ).
fof(f24,axiom,
linP(pB) = cons(b,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_024) ).
fof(f25,axiom,
linP(pE) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_025) ).
fof(f26,axiom,
! [X0,X1] : linC(c2(X0,X1)) = append(linP(X0),linP(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_026) ).
fof(f27,conjecture,
? [X0,X1] :
~ ( linC(X0) = linC(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_027) ).
fof(f28,negated_conjecture,
~ ? [X0,X1] :
~ ( linC(X0) = linC(X1)
=> X0 = X1 ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( X0 = X1
| linC(X0) != linC(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( linC(X0) != linC(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f31,plain,
! [X0,X1] : linC(c2(X0,X1)) = append(linP(X0),linP(X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f32,plain,
! [X0,X1] : proj2C(c2(X0,X1)) = X1,
inference(cnf_transformation,[],[f18]) ).
fof(f36,plain,
! [X2,X0,X1] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X0] : append(nil,X0) = X0,
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
nil = linP(pE),
inference(cnf_transformation,[],[f25]) ).
fof(f39,plain,
cons(b,nil) = linP(pB),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
pB != pE,
inference(cnf_transformation,[],[f16]) ).
fof(f72,plain,
! [X0] : linC(c2(pE,X0)) = append(nil,linP(X0)),
inference(superposition,[],[f31,f38]) ).
fof(f73,plain,
! [X0] : linC(c2(X0,pE)) = append(linP(X0),nil),
inference(superposition,[],[f31,f38]) ).
fof(f74,plain,
! [X0] : linP(X0) = linC(c2(pE,X0)),
inference(forward_demodulation,[],[f72,f37]) ).
fof(f81,plain,
! [X0] : cons(b,append(nil,X0)) = append(linP(pB),X0),
inference(superposition,[],[f36,f39]) ).
fof(f88,plain,
! [X0] : append(linP(pB),X0) = cons(b,X0),
inference(forward_demodulation,[],[f81,f37]) ).
fof(f105,plain,
! [X0,X1] :
( linC(X1) != append(linP(X0),nil)
| c2(X0,pE) = X1 ),
inference(superposition,[],[f30,f73]) ).
fof(f112,plain,
! [X0] :
( cons(b,nil) != linC(X0)
| c2(pB,pE) = X0 ),
inference(superposition,[],[f105,f88]) ).
fof(f113,plain,
! [X0] :
( linP(pB) != linC(X0)
| c2(pB,pE) = X0 ),
inference(forward_demodulation,[],[f112,f39]) ).
fof(f134,plain,
! [X0] :
( linP(X0) != linP(pB)
| c2(pE,X0) = c2(pB,pE) ),
inference(superposition,[],[f113,f74]) ).
fof(f161,plain,
c2(pE,pB) = c2(pB,pE),
inference(equality_resolution,[],[f134]) ).
fof(f169,plain,
pB = proj2C(c2(pB,pE)),
inference(superposition,[],[f32,f161]) ).
fof(f170,plain,
pB = pE,
inference(forward_demodulation,[],[f169,f32]) ).
fof(f175,plain,
$false,
inference(forward_subsumption_resolution,[],[f170,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX207+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.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 15:14:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.21/1.51 % (3697333)Detected formulas, will run a generic FOF schedule.
% 0.21/1.51 % (3697342)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1888369312:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.21/1.51 % (3697342)Refutation not found, incomplete strategy
% 0.21/1.51 % (3697342)------------------------------
% 0.21/1.51 % (3697342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.51 % (3697342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.51 % (3697342)CaDiCaL version: 2.1.3
% 0.21/1.51 % (3697342)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.51 % (3697342)Time elapsed: 0.001 s
% 0.21/1.51 % (3697342)Peak memory usage: 87 MB
% 0.21/1.51 % (3697340)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=1766761650:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.21/1.51 % (3697339)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=3287287828:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.21/1.51 % (3697338)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=2944756579:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.21/1.51 % (3697344)dis-21_1_sil=8000:lcm=predicate:random_seed=2275852282:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.21/1.51 % (3697341)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=331842808:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.21/1.51 % (3697343)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3360000770:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.21/1.51 % (3697341)Refutation not found, incomplete strategy
% 0.21/1.51 % (3697341)------------------------------
% 0.21/1.51 % (3697341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.51 % (3697341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.51 % (3697341)CaDiCaL version: 2.1.3
% 0.21/1.51 % (3697341)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.51 % (3697341)Time elapsed: 0.001 s
% 0.21/1.51 % (3697341)Peak memory usage: 88 MB
% 0.21/1.51 % (3697344)Refutation not found, incomplete strategy
% 0.21/1.51 % (3697344)------------------------------
% 0.21/1.51 % (3697344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.51 % (3697344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.51 % (3697344)CaDiCaL version: 2.1.3
% 0.21/1.51 % (3697344)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.51 % (3697344)Time elapsed: 0.002 s
% 0.21/1.51 % (3697344)Peak memory usage: 88 MB
% 0.21/1.51 % (3697344)Instructions burned: 1 (million)
% 0.21/1.51 % (3697343)Instruction limit reached!
% 0.21/1.51 % (3697343)------------------------------
% 0.21/1.51 % (3697343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.51 % (3697343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.51 % (3697343)CaDiCaL version: 2.1.3
% 0.21/1.51 % (3697343)Termination reason: Instruction limit
% 0.21/1.51 % (3697343)Termination phase: Saturation
% 0.21/1.51 % (3697343)Time elapsed: 0.079 s
% 0.21/1.51 % (3697343)Peak memory usage: 89 MB
% 0.21/1.51 % (3697343)Instructions burned: 139 (million)
% 0.21/1.51 % (3697342)------------------------------
% 0.21/1.51 % (3697342)------------------------------
% 0.21/1.51 % (3697353)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2106555978:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.21/1.51 % (3697353)Refutation not found, incomplete strategy
% 0.21/1.51 % (3697353)------------------------------
% 0.21/1.51 % (3697353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.51 % (3697353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.51 % (3697353)CaDiCaL version: 2.1.3
% 0.21/1.51 % (3697353)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.51 % (3697353)Time elapsed: 0.001 s
% 0.21/1.51 % (3697353)Peak memory usage: 88 MB
% 0.21/1.51 % (3697352)lrs+10_1_sil=8000:sp=occurrence:random_seed=1631076232:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.21/1.51 % (3697352)First to succeed.
% 0.21/1.51 % (3697352)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3697333"
% 0.21/1.51 % (3697344)------------------------------
% 0.21/1.51 % (3697344)------------------------------
% 0.21/1.51 % (3697341)------------------------------
% 0.21/1.51 % (3697341)------------------------------
% 0.21/1.51 % (3697353)------------------------------
% 0.21/1.51 % (3697353)------------------------------
% 0.21/1.51 % (3697356)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1624829971:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 0.21/1.51 % (3697357)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=3664771806:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 0.21/1.51 % (3697352)Refutation found. Thanks to Tanya!
% 0.21/1.51 % SZS status Theorem for theBenchmark
% 0.21/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.51 % (3697352)------------------------------
% 0.21/1.51 % (3697352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.51 % (3697352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.51 % (3697352)CaDiCaL version: 2.1.3
% 0.21/1.51 % (3697352)Termination reason: Refutation
% 0.21/1.51 % (3697352)Time elapsed: 0.006 s
% 0.21/1.51 % (3697352)Peak memory usage: 88 MB
% 0.21/1.51 % (3697352)Instructions burned: 8 (million)
% 0.21/1.51 % (3697352)------------------------------
% 0.21/1.51 % (3697352)------------------------------
% 0.21/1.51 % (3697333)Success in time 0.656 s
% 0.21/1.51 % Vampire exiting
%------------------------------------------------------------------------------