%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU306+2 : TPTP v9.3.1. Released v3.3.0.
% 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 12:48:16 PM UTC 2026
% Result : Theorem 3.69s 1.49s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 20 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 3 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 5 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f76,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f318,conjecture,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f319,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(negated_conjecture,[status(cth)],[f318]) ).
fof(f598,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f804,plain,
? [X0] :
( the_carrier(X0) != cast_as_carrier_subset(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f319]) ).
fof(f1455,plain,
( the_carrier(sK329) != cast_as_carrier_subset(sK329)
& one_sorted_str(sK329) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK329]),skolemize(X0,sK329)],[f804]) ).
fof(f1753,plain,
! [X0] :
( the_carrier(X0) = cast_as_carrier_subset(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f598]) ).
fof(f2496,plain,
one_sorted_str(sK329),
inference(cnf_transformation,[],[f1455]) ).
fof(f2497,plain,
the_carrier(sK329) != cast_as_carrier_subset(sK329),
inference(cnf_transformation,[],[f1455]) ).
fof(f3205,plain,
( the_carrier(sK329) != the_carrier(sK329)
| ~ one_sorted_str(sK329) ),
inference(superposition,[],[f2497,f1753]) ).
fof(f3206,plain,
~ one_sorted_str(sK329),
inference(trivial_inequality_removal,[],[f3205]) ).
fof(f3207,plain,
$false,
inference(forward_subsumption_resolution,[],[f3206,f2496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU306+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 04:37:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 3.69/1.49 % (1433786)Detected formulas, will run a generic FOF schedule.
% 3.69/1.49 % (1433792)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=788880989:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.69/1.49 % (1433795)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=719288783:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.69/1.49 % (1433791)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=139694583:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.69/1.49 % (1433794)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2027587489:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.69/1.49 % (1433793)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=2600405950:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.69/1.49 % (1433796)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2355591947:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.69/1.49 % (1433797)dis-21_1_sil=8000:lcm=predicate:random_seed=2453849143: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)
% 3.69/1.49 % (1433796)First to succeed.
% 3.69/1.49 % (1433796)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1433786"
% 3.69/1.49 % (1433795)Also succeeded, but the first one will report.
% 3.69/1.49 % (1433794)Instruction limit reached!
% 3.69/1.49 % (1433794)------------------------------
% 3.69/1.49 % (1433794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.49 % (1433794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.49 % (1433794)CaDiCaL version: 2.1.3
% 3.69/1.49 % (1433794)Termination reason: Instruction limit
% 3.69/1.49 % (1433794)Termination phase: Saturation
% 3.69/1.49 % (1433794)Time elapsed: 0.062 s
% 3.69/1.49 % (1433794)Peak memory usage: 91 MB
% 3.69/1.49 % (1433794)Instructions burned: 111 (million)
% 3.69/1.49 % (1433797)Instruction limit reached!
% 3.69/1.49 % (1433797)------------------------------
% 3.69/1.49 % (1433797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.49 % (1433797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.49 % (1433797)CaDiCaL version: 2.1.3
% 3.69/1.49 % (1433797)Termination reason: Instruction limit
% 3.69/1.49 % (1433797)Termination phase: Saturation
% 3.69/1.49 % (1433797)Time elapsed: 0.064 s
% 3.69/1.49 % (1433797)Peak memory usage: 90 MB
% 3.69/1.49 % (1433797)Instructions burned: 129 (million)
% 3.69/1.49 % (1433805)lrs+10_1_sil=8000:sp=occurrence:random_seed=2141119389:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.69/1.49 % (1433806)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4209738804:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.69/1.49 % (1433806)Also succeeded, but the first one will report.
% 3.69/1.49 % (1433805)Also succeeded, but the first one will report.
% 3.69/1.49 % (1433796)Refutation found. Thanks to Tanya!
% 3.69/1.49 % SZS status Theorem for theBenchmark
% 3.69/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.49 % (1433796)------------------------------
% 3.69/1.49 % (1433796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.49 % (1433796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.49 % (1433796)CaDiCaL version: 2.1.3
% 3.69/1.49 % (1433796)Termination reason: Refutation
% 3.69/1.49 % (1433796)Time elapsed: 0.032 s
% 3.69/1.49 % (1433796)Peak memory usage: 90 MB
% 3.69/1.49 % (1433796)Instructions burned: 54 (million)
% 3.69/1.49 % (1433796)------------------------------
% 3.69/1.49 % (1433796)------------------------------
% 3.69/1.49 % (1433786)Success in time 0.457 s
% 3.69/1.49 % Vampire exiting
%------------------------------------------------------------------------------